* Barfknecht et al. (2018b) Barfknecht, R.E., Foerster, A., Zinner, N.T., 2018b.  Emergence of junction dynamics in a strongly interacting Bose mixture.  New J. Phys. 20, 063014\.  doi:10.1088/1367-2630/aac718.
  * Barfknecht et al. (2019a) Barfknecht, R.E., Foerster, A., Zinner, N.T., 2019a.  Dynamics of spin and density fluctuations in strongly interacting few-body systems.  Scientific Reports 9, 15994\.  doi:10.1038/s41598-019-52392-2.
  * Barfknecht et al. (2021a) Barfknecht, R.E., Foerster, A., Zinner, N.T., Volosniev, A.G., 2021a.  Generation of spin currents by a temperature gradient in a two-terminal device.  Communications Physics 4, 252\.  URL: https://doi.org/10.1038/s42005-021-00753-7, doi:10.1038/s42005-021-00753-7.
  * Barfknecht et al. (2021b) Barfknecht, R.E., Mendes-Santos, T., Fallani, L., 2021b.  Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps.  Phys. Rev. Research 3, 013112\.  doi:10.1103/PhysRevResearch.3.013112.
  * Barfknecht et al. (2019b) Barfknecht, R.E., Rasmussen, S.E., Foerster, A., Zinner, N.T., 2019b.  Realizing time crystals in discrete quantum few-body systems.  Phys. Rev. B 99, 144304\.  doi:10.1103/PhysRevB.99.144304.
  * Barillier-Pertuisel et al. (2008) Barillier-Pertuisel, X., Pittel, S., Pollet, L., Schuck, P., 2008\.  Boson-fermion pairing in bose-fermi mixtures on one-dimensional optical lattices.  Phys. Rev. A 77, 012115\.  doi:10.1103/PhysRevA.77.012115.
  * Barone and Paterno (1982) Barone, A., Paterno, G., 1982\.  Physics and Applications of the Josephson Effect.  Wiley.  doi:10.1002/352760278X.
  * Barranco et al. (2006) Barranco, M., Guardiola, R., Hernández, S., Mayol, R., Navarro, J., Pi, M., 2006\.  Helium nanodroplets: An overview.  J. L. Temp. Phys. 142, 1–81.  doi:10.1007/s10909-005-9267-0.
  * Barredo et al. (2016) Barredo, D., De Léséleuc, S., Lienhard, V., Lahaye, T., Browaeys, A., 2016.  An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays.  Science 354, 1021–1023.  doi:10.1126/science.aah3778.
  * Barth and Zwerger (2011) Barth, M., Zwerger, W., 2011\.  Tan relations in one dimension.  Annals of Physics 326, 2544–2565.  doi:10.1016/j.aop.2011.05.010.
  * Bastianello et al. (2019) Bastianello, A., Alba, V., Caux, J.S., 2019.  Generalized Hydrodynamics with Space-Time Inhomogeneous Interactions.  Phys. Rev. Lett. 123, 130602\.  doi:10.1103/PhysRevLett.123.130602.
  * Bastianello et al. (2018) Bastianello, A., Doyon, B., Watts, G., Yoshimura, T., 2018\.  Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model.  SciPost Phys. 4, 45\.  doi:10.21468/SciPostPhys.4.6.045.
  * Batchelor (2007) Batchelor, M.T., 2007.  The Bethe ansatz after 75 years.  Physics Today 60, 36–40.  doi:10.1063/1.2709557.
  * Batchelor (2014) Batchelor, M.T., 2014.  The importance of being integrable: Out of the paper, into the lab.  International Journal of Modern Physics B 28, 1430010.  doi:10.1142/S0217979214300102.
  * Batchelor et al. (2005) Batchelor, M.T., Bortz, M., Guan, X.W., Oelkers, N., 2005\.  Evidence for the super Tonks–Girardeau gas.  Journal of Statistical Mechanics: Theory and Experiment 2005, L10001–L10001.  doi:10.1088/1742-5468/2005/10/l10001.
  * Batchelor and Foerster (2016) Batchelor, M.T., Foerster, A., 2016\.  Yang–Baxter integrable models in experiments: from condensed matter to ultracold atoms.  Journal of Physics A: Mathematical and Theoretical 49, 173001.  doi:10.1088/1751-8113/49/17/173001.
  * Batchelor et al. (2007) Batchelor, M.T., Guan, X.W., He, J.S., 2007.  The Bethe ansatz for 1D interacting anyons.  Journal of Statistical Mechanics: Theory and Experiment 2007, P03007–P03007.  doi:10.1088/1742-5468/2007/03/p03007.
  * Batrouni et al. (2002) Batrouni, G.G., Rousseau, V., Scalettar, R.T., Rigol, M., Muramatsu, A., Denteneer, P.J.H., Troyer, M., 2002.  Mott Domains of Bosons Confined on Optical Lattices.  Phys. Rev. Lett. 89, 117203\.  doi:10.1103/PhysRevLett.89.117203.
  * Bauer et al. (2011) Bauer, B., Carr, L.D., Evertz, H.G., Feiguin, A., Freire, J., Fuchs, S., Gamper, L., Gukelberger, J., Gull, E., Guertler, S., Hehn, A., Igarashi, R., Isakov, S.V., Koop, D., Ma, P.N., Mates, P., Matsuo, H., Parcollet, O., Pawłowski, G., Picon, J.D., Pollet, L., Santos, E., Scarola, V.W., Schollwöck, U., Silva, C., Surer, B., Todo, S., Trebst, S., Troyer, M., Wall, M.L., Werner, P., Wessel, S., 2011\.  The ALPS project release 2.0: open source software for strongly correlated systems.  Journal of Statistical Mechanics: Theory and Experiment 2011, P05001.  doi:10.1088/1742-5468/2011/05/p05001.
  * Baxter (1972) Baxter, R.J., 1972.  Partition function of the Eight-Vertex lattice model.  Annals of Physics 70, 193 – 228.  doi:https://doi.org/10.1016/0003-4916(72)90335-1.
  * Bayha et al. (2020) Bayha, L., Holten, M., Klemt, R., Subramanian, K., Bjerlin, J., Reimann, S.M., Bruun, G.M., Preiss, P.M., Jochim, S., 2020.  Observing the emergence of a quantum phase transition shell by shell.  Nature 587, 583–587.  doi:10.1038/s41586-020-2936-y.
  * Becher et al. (2020) Becher, J.H., Sindici, E., Klemt, R., Jochim, S., Daley, A.J., Preiss, P.M., 2020\.  Measurement of Identical Particle Entanglement and the Influence of Antisymmetrization.  Phys. Rev. Lett. 125, 180402\.  doi:10.1103/PhysRevLett.125.180402.
  * Beck et al. (2000) Beck, M.H., Jäckle, A., Worth, G.A., Meyer, H.D., 2000\.  The multiconfiguration time-dependent Hartree (MCTDH) method: a highly efficient algorithm for propagating wavepackets.  Phys. Rep. 324, 1–105.  doi:10.1016/S0370-1573(99)00047-2.
  * Beinke et al. (2018) Beinke, R., Cederbaum, L.S., Alon, O.E., 2018.  Enhanced many-body effects in the excitation spectrum of a weakly interacting rotating Bose-Einstein condensate.  Phys. Rev. A 98, 053634\.  doi:10.1103/PhysRevA.98.053634.
  * Belemuk et al. (2007) Belemuk, A.M., Ryzhov, V.N., Chui, S.T., 2007.  Stable and unstable regimes in Bose-Fermi mixtures with attraction between components.  Phys. Rev. A 76, 013609\.  doi:10.1103/PhysRevA.76.013609.
  * Bellotti et al. (2017) Bellotti, F.F., Dehkharghani, A.S., Zinner, N.T., 2017.  Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps.  European Physical Journal D 71, 37\.  doi:10.1140/epjd/e2017-70650-8.
  * Benseny et al. (2016) Benseny, A., Gillet, J., Busch, T., 2016.  Spatial adiabatic passage via interaction-induced band separation.  Phys. Rev. A 93, 033629\.  doi:10.1103/PhysRevA.93.033629.
  * Bera et al. (2019) Bera, S., Chakrabarti, B., Gammal, A., Tsatsos, M.C., Lekala, M.L., Chatterjee, B., Lévêque, C., Lode, A.U.J., 2019\.  Sorting Fermionization from Crystallization in Many-Boson Wavefunctions.  Scientific Reports 9, 17873\.  doi:10.1038/s41598-019-53179-1.
  * Bera et al. (2020) Bera, S., Haldar, S.K., Chakrabarti, B., Trombettoni, A., Kota, V., 2020.  Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions.  European Phys. J. D 74, 1–10.  doi:10.1140/epjd/e2020-100358-5.
  * van den Berg et al. (2016) van den Berg, R., Wouters, B., Eliëns, S., De Nardis, J., Konik, R.M., Caux, J.S., 2016\.  Separation of Time Scales in a Quantum Newton’s Cradle.  Phys. Rev. Lett. 116, 225302\.  doi:10.1103/PhysRevLett.116.225302.
  * Bergeman et al. (2003) Bergeman, T., Moore, M.G., Olshanii, M., 2003.  Atom-Atom Scattering under Cylindrical Harmonic Confinement: Numerical and Analytic Studies of the Confinement Induced Resonance.  Phys. Rev. Lett. 91, 163201\.  doi:10.1103/PhysRevLett.91.163201.
  * Bergmann et al. (2019) Bergmann, K., et al., 2019.  Roadmap on STIRAP applications.  Journal of Physics B: Atomic, Molecular and Optical Physics 52, 202001.  doi:10.1088/1361-6455/ab3995.
  * Bergschneider et al. (2019) Bergschneider, A., Klinkhamer, V.M., Becher, J.H., Klemt, R., Palm, L., Zürn, G., Jochim, S., Preiss, P.M., 2019\.  Experimental characterization of two-particle entanglement through position and momentum correlations.  Nature Physics 15, 640–644.  doi:10.1038/s41567-019-0508-6.
  * Bersano et al. (2018) Bersano, T.M., Gokhroo, V., Khamehchi, M.A., D’Ambroise, J., Frantzeskakis, D.J., Engels, P., Kevrekidis, P.G., 2018.  Three-Component Soliton States in Spinor $F=1$ Bose-Einstein Condensates.  Phys. Rev. Lett. 120, 063202\.  doi:10.1103/PhysRevLett.120.063202.
  * Bertini et al. (2016) Bertini, B., Collura, M., De Nardis, J., Fagotti, M., 2016\.  Transport in Out-of-Equilibrium $XXZ$ Chains: Exact Profiles of Charges and Currents.  Phys. Rev. Lett. 117, 207201\.  doi:10.1103/PhysRevLett.117.207201.
  * Bertini et al. (2018) Bertini, B., Fagotti, M., Piroli, L., Calabrese, P., 2018\.  Entanglement evolution and generalised hydrodynamics: noninteracting systems.  Journal of Physics A: Mathematical and Theoretical 51, 39LT01.  doi:10.1088/1751-8121/aad82e.
  * Bertini et al. (2021) Bertini, B., Heidrich-Meisner, F., Karrasch, C., Prosen, T., Steinigeweg, R., Žnidarič, M., 2021\.  Finite-temperature transport in one-dimensional quantum lattice models.  Rev. Mod. Phys. 93, 025003\.  doi:10.1103/RevModPhys.93.025003.
  * Bethe (1931) Bethe, H., 1931.  Zur Theorie der Metalle.  Zeitschrift für Physik 71, 205–226.  doi:10.1007/BF01341708.
  * Bettelheim (2020) Bettelheim, E., 2020.  The Whitham approach to the c $\rightarrow$ 0 limit of the Lieb–Liniger model and generalized hydrodynamics.  Journal of Physics A: Mathematical and Theoretical 53, 205204.  doi:10.1088/1751-8121/ab8676.
  * Beugnon et al. (2007) Beugnon, J., Tuchendler, C., Marion, H., Gaëtan, A., Miroshnychenko, Y., Sortais, Y.R., Lance, A.M., Jones, M.P., Messin, G., Browaeys, A., Grangier, P., 2007.  Two-dimensional transport and transfer of a single atomic qubit in optical tweezers.  Nature Physics 3, 696–699.  doi:10.1038/nphys698.
  * Bijlsma and Stoof (1999) Bijlsma, M.J., Stoof, H.T.C., 1999\.  Collisionless modes of a trapped Bose gas.  Phys. Rev. A 60, 3973–3981.  doi:10.1103/PhysRevA.60.3973.
  * Bissbort et al. (2013) Bissbort, U., Cocks, D., Negretti, A., Idziaszek, Z., Calarco, T., Schmidt-Kaler, F., Hofstetter, W., Gerritsma, R., 2013\.  Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms.  Phys. Rev. Lett. 111, 080501\.  doi:10.1103/PhysRevLett.111.080501.
  * Bisset et al. (2021) Bisset, R.N., Ardila, L.A.P., Santos, L., 2021.  Quantum droplets of dipolar mixtures.  Phys. Rev. Lett. 126, 025301\.
  * Black et al. (2007) Black, A.T., Gomez, E., Turner, L.D., Jung, S., Lett, P.D., 2007.  Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate.  Phys. Rev. Lett. 99, 070403\.  doi:10.1103/PhysRevLett.99.070403.
  * Blakie et al. (2008) Blakie, P.B., Bradley, A.S., Davis, M.J., Ballagh, R.J., Gardiner, C.W., 2008.  Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques.  Adv. Phys. 57, 363–455.  doi:10.1080/00018730802564254.
  * Bloch et al. (2008) Bloch, I., Dalibard, J., Zwerger, W., 2008.  Many-body physics with ultracold gases.  Rev. Mod. Phys. 80, 885–964.  doi:10.1103/RevModPhys.80.885.
  * Bloch et al. (2000) Bloch, I., Hänsch, T.W., Esslinger, T., 2000.  Measurement of the spatial coherence of a trapped Bose gas at the phase transition.  Nature 403, 166–170.  doi:10.1038/35003132.
  * Blume (2012) Blume, D., 2012.  Few-body physics with ultracold atomic and molecular systems in traps.  Reports on Progress in Physics 75, 046401.  doi:10.1088/0034-4885/75/4/046401.
  * Blume and Greene (2002) Blume, D., Greene, C.H., 2002\.  Fermi pseudopotential approximation: Two particles under external confinement.  Phys. Rev. A 65, 043613\.  doi:10.1103/PhysRevA.65.043613.
  * Bohn et al. (2017) Bohn, J.L., Rey, A.M., Ye, J., 2017.  Cold molecules: Progress in quantum engineering of chemistry and quantum matter.  Science 357, 1002–1010.  doi:10.1126/science.aam6299.
  * Boll et al. (2016) Boll, M., Hilker, T.A., Salomon, G., Omran, A., Nespolo, J., Pollet, L., Bloch, I., Gross, C., 2016\.  Spin-and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains.  Science 353, 1257–1260.  doi:10.1126/science.aag1635.
  * Bolsinger et al. (2017) Bolsinger, V., Krönke, S., Schmelcher, P., 2017.  Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach.  J. Phys. B: At., Mol. and Opt. Phys. 50, 034003.  doi:10.1088/1361-6455/50/3/034003.
  * Boninsegni and Prokof’ev (2012) Boninsegni, M., Prokof’ev, N.V., 2012\.  Colloquium: Supersolids: What and where are they?  Rev. Mod. Phys. 84, 759\.
  * Bonkhoff et al. (2021) Bonkhoff, M., Jägering, K., Eggert, S., Pelster, A., Thorwart, M., Posske, T., 2021\.  Bosonic Continuum Theory of One-Dimensional Lattice Anyons.  Phys. Rev. Lett. 126, 163201\.  doi:10.1103/PhysRevLett.126.163201.
  * Bonneau et al. (2018) Bonneau, M., Munro, W.J., Nemoto, K., Schmiedmayer, J., 2018\.  Characterizing twin-particle entanglement in double-well potentials.  Phys. Rev. A 98, 033608\.  doi:10.1103/PhysRevA.98.033608.
  * Bookjans et al. (2011) Bookjans, E.M., Vinit, A., Raman, C., 2011.  Quantum Phase Transition in an Antiferromagnetic Spinor Bose-Einstein Condensate.  Phys. Rev. Lett. 107, 195306\.  doi:10.1103/PhysRevLett.107.195306.
  * Bose (2003) Bose, S., 2003.  Quantum Communication through an Unmodulated Spin Chain.  Phys. Rev. Lett. 91, 207901\.  doi:10.1103/PhysRevLett.91.207901.
  * Böttcher et al. (2020) Böttcher, F., Schmidt, J.N., Hertkorn, J., Ng, K., Graham, S., Guo, M., Langen, T., Pfau, T., 2020\.  New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids.  Rep. Progr. Phys. .
  * Böttcher et al. (2019) Böttcher, F., Schmidt, J.N., Wenzel, M., Hertkorn, J., Guo, M., Langen, T., Pfau, T., 2019.  Transient Supersolid Properties in an Array of Dipolar Quantum Droplets.  Phys. Rev. X 9, 011051\.  doi:10.1103/PhysRevX.9.011051.
  * Böttcher et al. (2019) Böttcher, F., Wenzel, M., Schmidt, J.N., Guo, M., Langen, T., Ferrier-Barbut, I., Pfau, T., Bombín, R., Sánchez-Baena, J., Boronat, J., et al., 2019.  Dilute dipolar quantum droplets beyond the extended gross-pitaevskii equation.  Phys. Rev. Research 1, 033088\.
  * Bougas et al. (2020) Bougas, G., Mistakidis, S.I., Alshalan, G.M., Schmelcher, P., 2020\.  Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one.  Phys. Rev. A 102, 013314\.
  * Bougas et al. (2021) Bougas, G., Mistakidis, S.I., Schmelcher, P., 2021.  Pattern formation of correlated impurities subjected to an impurity-medium interaction pulse.  Phys. Rev. A 103, 023313\.  doi:10.1103/PhysRevA.103.023313.
  * Braaten and Hammer (2006) Braaten, E., Hammer, H.W., 2006\.  Universality in few-body systems with large scattering length.  Physics Reports 428, 259 – 390.  doi:https://doi.org/10.1016/j.physrep.2006.03.001.
  * Brauneis et al. (2022) Brauneis, F., Backert, T.G., Mistakidis, S.I., Lemeshko, M., Hammer, H.W., Volosniev, A.G., 2022\.  Artificial atoms from cold bosons in one dimension.  arXiv:2201.13293.
  * Brauneis et al. (2021) Brauneis, F., Hammer, H.W., Lemeshko, M., Volosniev, A.G., 2021\.  Impurities in a one-dimensional Bose gas: the flow equation approach.  SciPost Phys. 11, 8\.  doi:10.21468/SciPostPhys.11.1.008.
  * Breit and Rabi (1931) Breit, G., Rabi, I., 1931.  Measurement of nuclear spin.  Phys. Rev. 38, 2082\.
  * Broeckhove et al. (1988) Broeckhove, J., Lathouwers, L., Kesteloot, E., Van Leuven, P., 1988\.  On the equivalence of time-dependent variational principles.  Chem. Phys. Lett. 149, 547–550.  doi:10.1016/0009-2614(88)80380-4.
  * Brouzos et al. (2013) Brouzos, I., Diakonos, F.K., Schmelcher, P., 2013.  Ultracold bosons in one-dimensional harmonic and multi-well traps: a quantum Monte Carlo versus a correlated-pair approach.  Journal of Physics B: Atomic, Molecular and Optical Physics 46, 045001.  doi:10.1088/0953-4075/46/4/045001.
  * Brouzos and Schmelcher (2012a) Brouzos, I., Schmelcher, P., 2012a.  Construction of Analytical Many-Body Wave Functions for Correlated Bosons in a Harmonic Trap.  Phys. Rev. Lett. 108, 045301\.  doi:10.1103/PhysRevLett.108.045301.
  * Brouzos and Schmelcher (2012b) Brouzos, I., Schmelcher, P., 2012b.  Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap.  Phys. Rev. A 85, 033635\.  doi:10.1103/PhysRevA.85.033635.
  * Brouzos and Schmelcher (2013) Brouzos, I., Schmelcher, P., 2013\.  Two-component few-fermion mixtures in a one-dimensional trap: Numerical versus analytical approach.  Phys. Rev. A 87, 023605\.  doi:10.1103/PhysRevA.87.023605.
  * Brouzos et al. (2015) Brouzos, I., Streltsov, A.I., Negretti, A., Said, R.S., Caneva, T., Montangero, S., Calarco, T., 2015.  Quantum speed limit and optimal control of many-boson dynamics.  Phys. Rev. A 92, 062110\.  doi:10.1103/PhysRevA.92.062110.
  * Bruderer et al. (2007) Bruderer, M., Klein, A., Clark, S.R., Jaksch, D., 2007\.  Polaron physics in optical lattices.  Phys. Rev. A 76, 011605\.  doi:10.1103/PhysRevA.76.011605.
  * Büchler (2010) Büchler, H.P., 2010.  Microscopic Derivation of Hubbard Parameters for Cold Atomic Gases.  Phys. Rev. Lett. 104, 090402\.  doi:10.1103/PhysRevLett.104.090402.
  * Büchler and Blatter (2003) Büchler, H.P., Blatter, G., 2003\.  Supersolid versus Phase Separation in Atomic Bose-Fermi Mixtures.  Phys. Rev. Lett. 91, 130404\.  doi:10.1103/PhysRevLett.91.130404.
  * Buck and Pilt (1977) Buck, B., Pilt, A., 1977.  Alpha-particle and triton cluster states in 19f.  Nucl. Phys. A 280, 133–160.
  * Budewig et al. (2019) Budewig, L., Mistakidis, S.I., Schmelcher, P., 2019.  Quench dynamics of two one-dimensional harmonically trapped bosons bridging attraction and repulsion.  Molecular Physics 117, 2043–2057.  doi:10.1080/00268976.2019.1575995.
  * Buljan et al. (2008) Buljan, H., Pezer, R., Gasenzer, T., 2008.  Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas.  Phys. Rev. Lett. 100, 080406\.  doi:10.1103/PhysRevLett.100.080406.
  * Buonsante et al. (2008) Buonsante, P., Giampaolo, S.M., Illuminati, F., Penna, V., Vezzani, A., 2008.  Mixtures of Strongly Interacting Bosons in Optical Lattices.  Phys. Rev. Lett. 100, 240402\.  doi:10.1103/PhysRevLett.100.240402.
  * Burchianti et al. (2020) Burchianti, A., D’Errico, C., Prevedelli, M., Salasnich, L., Ancilotto, F., Modugno, M., Minardi, F., Fort, C., 2020\.  A dual-species Bose-Einstein condensate with attractive interspecies interactions.  Condensed Matter 5, 21\.  doi:10.3390/condmat5010021.
  * Busch and Huyet (2003) Busch, T., Huyet, G., 2003.  Low-density, one-dimensional quantum gases in a split trap.  Journal of Physics B: Atomic, Molecular and Optical Physics 36, 2553–2562.  doi:10.1088/0953-4075/36/12/313.
  * Busch et al. (1998) Busch, Th., Englert, B.G., Rzażewski, K., Wilkens, M., 1998\.  Two Cold Atoms in a Harmonic Trap.  Foundations of Physics 28, 549–559.  doi:10.1023/A:1018705520999.
  * Cabrera et al. (2018) Cabrera, C.R., Tanzi, L., Sanz, J., Naylor, B., Thomas, P., Cheiney, P., Tarruell, L., 2018.  Quantum liquid droplets in a mixture of Bose-Einstein condensates.  Science 359, 301–304.  doi:10.1126/science.aao5686.
  * Caillat et al. (2005) Caillat, J., Zanghellini, J., Kitzler, M., Koch, O., Kreuzer, W., Scrinzi, A., 2005\.  Correlated multielectron systems in strong laser fields: A multiconfiguration time-dependent Hartree-Fock approach.  Phys. Rev. A 71, 012712\.  doi:10.1103/PhysRevA.71.012712.
  * Calarco et al. (2000) Calarco, T., Hinds, E.A., Jaksch, D., Schmiedmayer, J., Cirac, J.I., Zoller, P., 2000\.  Quantum gates with neutral atoms: Controlling collisional interactions in time-dependent traps.  Phys. Rev. A 61, 022304\.  doi:10.1103/PhysRevA.61.022304.
  * Calogero (1971) Calogero, F., 1971.  Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials.  Journal of Mathematical Physics 12, 419–436.  doi:10.1063/1.1665604.
  * Camacho-Guardian et al. (2018) Camacho-Guardian, A., Peña Ardila, L.A., Pohl, T., Bruun, G.M., 2018\.  Bipolarons in a Bose-Einstein Condensate.  Phys. Rev. Lett. 121, 013401\.  doi:10.1103/PhysRevLett.121.013401.
  * Camacho-Guardian and Bruun (2018) Camacho-Guardian, A., Bruun, G.M., 2018\.  Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate.  Phys. Rev. X 8, 031042\.  doi:10.1103/PhysRevX.8.031042.
  * Campbell et al. (2014) Campbell, S., García-March, M.A., Fogarty, T., Busch, T., 2014\.  Quenching small quantum gases: Genesis of the orthogonality catastrophe.  Phys. Rev. A 90, 013617\.  doi:10.1103/PhysRevA.90.013617.
  * del Campo (2008) del Campo, A., 2008.  Fermionization and bosonization of expanding one-dimensional anyonic fluids.  Phys. Rev. A 78, 045602\.  doi:10.1103/PhysRevA.78.045602.
  * Cao et al. (2017) Cao, L., Bolsinger, V., Mistakidis, S., Koutentakis, G., Krönke, S., Schurer, J., Schmelcher, P., 2017.  A unified ab initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures.  The J. Chem. Phys. 147, 044106\.  doi:10.1063/1.4993512.
  * Cao et al. (2012) Cao, L., Brouzos, I., Chatterjee, B., Schmelcher, P., 2012\.  The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap.  New J. Phys. 14, 093011\.  doi:10.1088/1367-2630/14/9/093011.
  * Cao et al. (2011) Cao, L., Brouzos, I., Zöllner, S., Schmelcher, P., 2011\.  Interaction-driven interband tunneling of bosons in the triple well.  New J. Phys. 13, 033032\.  doi:10.1088/1367-2630/13/3/033032.
  * Cao et al. (2013) Cao, L., Krönke, S., Vendrell, O., Schmelcher, P., 2013\.  The multi-layer multi-configuration time-dependent Hartree method for bosons: Theory, implementation, and applications.  J. Chem. Phys. 139, 134103\.  doi:10.1063/1.4821350.
  * Cappellaro et al. (2018) Cappellaro, A., Macrì, T., Salasnich, L., 2018.  Collective modes across the soliton-droplet crossover in binary Bose mixtures.  Phys. Rev. A 97, 053623\.  doi:10.1103/PhysRevA.97.053623.
  * Carr (2010) Carr, L. (Ed.), 2010.  Understanding quantum phase transitions.  CRC Press.  doi:10.1201/b10273.
  * Casteels et al. (2012) Casteels, W., Tempere, J., Devreese, J.T., 2012.  Polaronic properties of an impurity in a Bose-Einstein condensate in reduced dimensions.  Phys. Rev. A 86, 043614\.  doi:10.1103/PhysRevA.86.043614.
  * Castella (1996) Castella, H., 1996.  Effect of finite impurity mass on the Anderson orthogonality catastrophe in one dimension.  Phys. Rev. B 54, 17422–17430.  doi:10.1103/PhysRevB.54.17422.
  * Castella and Zotos (1993) Castella, H., Zotos, X., 1993\.  Exact calculation of spectral properties of a particle interacting with a one-dimensional fermionic system.  Phys. Rev. B 47, 16186–16193.  doi:10.1103/PhysRevB.47.16186.
  * Castro-Alvaredo et al. (2016) Castro-Alvaredo, O.A., Doyon, B., Yoshimura, T., 2016.  Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium.  Phys. Rev. X 6, 041065\.  doi:10.1103/PhysRevX.6.041065.
  * Cataliotti et al. (2001) Cataliotti, F.S., Burger, S., Fort, C., Maddaloni, P., Minardi, F., Trombettoni, A., Smerzi, A., Inguscio, M., 2001\.  Josephson junction arrays with Bose-Einstein condensates.  Science 293, 843–846.  doi:10.1126/science.1062612.
  * Catani et al. (2012) Catani, J., Lamporesi, G., Naik, D., Gring, M., Inguscio, M., Minardi, F., Kantian, A., Giamarchi, T., 2012\.  Quantum dynamics of impurities in a one-dimensional Bose gas.  Phys. Rev. A 85, 023623\.  doi:10.1103/PhysRevA.85.023623.
  * Caux (2009) Caux, J.S., 2009.  Correlation functions of integrable models: A description of the ABACUS algorithm.  Journal of Mathematical Physics 50, 095214.  doi:10.1063/1.3216474.
  * Caux et al. (2007) Caux, J.S., Calabrese, P., Slavnov, N.A., 2007.  One-particle dynamical correlations in the one-dimensional Bose gas.  Journal of Statistical Mechanics: Theory and Experiment 2007, P01008–P01008.  doi:10.1088/1742-5468/2007/01/p01008.
  * Caux et al. (2019) Caux, J.S., Doyon, B., Dubail, J., Konik, R., Yoshimura, T., 2019.  Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup.  SciPost Phys. 6, 70\.  doi:10.21468/SciPostPhys.6.6.070.
  * Caux and Hagemans (2006) Caux, J.S., Hagemans, R., 2006\.  The four-spinon dynamical structure factor of the Heisenberg chain.  Journal of Statistical Mechanics: Theory and Experiment 2006, P12013–P12013.  doi:10.1088/1742-5468/2006/12/p12013.
  * Caux and Mossel (2011) Caux, J.S., Mossel, J., 2011\.  Remarks on the notion of quantum integrability.  Journal of Statistical Mechanics: Theory and Experiment 2011, P02023.  doi:10.1088/1742-5468/2011/02/p02023.
  * Cazalilla et al. (2011) Cazalilla, M.A., Citro, R., Giamarchi, T., Orignac, E., Rigol, M., 2011.  One dimensional bosons: From condensed matter systems to ultracold gases.  Rev. Mod. Phys. 83, 1405–1466.  doi:10.1103/RevModPhys.83.1405.
  * Cazalilla and Ho (2003) Cazalilla, M.A., Ho, A.F., 2003\.  Instabilities in Binary Mixtures of One-Dimensional Quantum Degenerate Gases.  Phys. Rev. Lett. 91, 150403\.  doi:10.1103/PhysRevLett.91.150403.
  * Cedergren et al. (2017) Cedergren, K., Ackroyd, R., Kafanov, S., Vogt, N., Shnirman, A., Duty, T., 2017\.  Insulating Josephson Junction Chains as Pinned Luttinger Liquids.  Phys. Rev. Lett. 119, 167701\.  doi:10.1103/PhysRevLett.119.167701.
  * Chang et al. (2005) Chang, M.S., Qin, Q., Zhang, W., You, L., Chapman, M.S., 2005.  Coherent spinor dynamics in a spin-1 Bose condensate.  Nature physics 1, 111–116.  doi:10.1038/nphys153.
  * Chang et al. (2020) Chang, Y.T., Senaratne, R., Cavazos-Cavazos, D., Hulet, R.G., 2020\.  Collisional Loss of One-Dimensional Fermions Near a $p$-Wave Feshbach Resonance.  Phys. Rev. Lett. 125, 263402\.  doi:10.1103/PhysRevLett.125.263402.
  * Chatterjee et al. (2012) Chatterjee, B., Brouzos, I., Cao, L., Schmelcher, P., 2012\.  Few-boson tunneling dynamics of strongly correlated binary mixtures in a double well.  Phys. Rev. A 85, 013611\.  doi:10.1103/PhysRevA.85.013611.
  * Chatterjee et al. (2013) Chatterjee, B., Brouzos, I., Cao, L., Schmelcher, P., 2013\.  Ultracold dipolar few-boson ensembles in a triple-well trap.  J. Phys. B: At. Mol. and Opt. Phys. 46, 085304.  doi:10.1088/0953-4075/46/8/085304.
  * Chatterjee et al. (2020) Chatterjee, B., Lévêque, C., Schmiedmayer, J., Lode, A.U.J., 2020\.  Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions.  Phys. Rev. Lett. 125, 093602\.  doi:10.1103/PhysRevLett.125.093602.
  * Chatterjee and Lode (2018) Chatterjee, B., Lode, A.U.J., 2018\.  Order parameter and detection for a finite ensemble of crystallized one-dimensional dipolar bosons in optical lattices.  Phys. Rev. A 98, 053624\.  doi:10.1103/PhysRevA.98.053624.
  * Chatterjee et al. (2019) Chatterjee, B., Tsatsos, M.C., Lode, A.U.J., 2019.  Correlations of strongly interacting one-dimensional ultracold dipolar few-boson systems in optical lattices.  New J. Phys. 21, 033030\.  doi:10.1088/1367-2630/aafa93.
  * Cheiney et al. (2018) Cheiney, P., Cabrera, C.R., Sanz, J., Naylor, B., Tanzi, L., Tarruell, L., 2018\.  Bright Soliton to Quantum Droplet Transition in a Mixture of Bose-Einstein Condensates.  Phys. Rev. Lett. 120, 135301\.  doi:10.1103/PhysRevLett.120.135301.
  * Chen et al. (2020) Chen, J., Mukhopadhyay, A.K., Schmelcher, P., 2020.  Asymptotic population imbalance of an ultracold bosonic ensemble in a driven double well.  Phys. Rev. A 102, 033302\.  doi:10.1103/PhysRevA.102.033302.
  * Chen et al. (2018a) Chen, J., Schurer, J.M., Schmelcher, P., 2018a.  Bunching-antibunching crossover in harmonically trapped few-body Bose-Fermi mixtures.  Phys. Rev. A 98, 023602\.  doi:10.1103/PhysRevA.98.023602.
  * Chen et al. (2018b) Chen, J., Schurer, J.M., Schmelcher, P., 2018b.  Entanglement Induced Interactions in Binary Mixtures.  Phys. Rev. Lett. 121, 043401\.  doi:10.1103/PhysRevLett.121.043401.
  * Chen et al. (2010) Chen, S., Guan, L., Yin, X., Hao, Y., Guan, X.W., 2010\.  Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem.  Phys. Rev. A 81, 031609\.  doi:10.1103/PhysRevA.81.031609.
  * Cheon and Shigehara (1999) Cheon, T., Shigehara, T., 1999\.  Fermion-Boson Duality of One-Dimensional Quantum Particles with Generalized Contact Interactions.  Phys. Rev. Lett. 82, 2536–2539.  doi:10.1103/PhysRevLett.82.2536.
  * Chern et al. (2019) Chern, I.L., Chou, C.F., Shieh, T.T., 2019.  Ground-state patterns and phase diagram of spin-1 Bose–Einstein condensates in uniform magnetic field.  Physica D: Nonlinear Phenomena 388, 73–86.  doi:10.1016/j.physd.2018.09.005.
  * Chevy (2015) Chevy, F., 2015.  Counterflow in a doubly superfluid mixture of bosons and fermions.  Phys. Rev. A 91, 063606\.  doi:10.1103/PhysRevA.91.063606.
  * Chin et al. (2010) Chin, C., Grimm, R., Julienne, P., Tiesinga, E., 2010\.  Feshbach resonances in ultracold gases.  Rev. Mod. Phys. 82, 1225–1286.  doi:10.1103/RevModPhys.82.1225.
  * Choi et al. (2012) Choi, J.y., Kwon, W.J., Shin, Y.i., 2012.  Observation of Topologically Stable 2D Skyrmions in an Antiferromagnetic Spinor Bose-Einstein Condensate.  Phys. Rev. Lett. 108, 035301\.  doi:10.1103/PhysRevLett.108.035301.
  * Chomaz et al. (2016) Chomaz, L., Baier, S., Petter, D., Mark, M.J., Wächtler, F., Santos, L., Ferlaino, F., 2016.  Quantum-Fluctuation-Driven Crossover from a Dilute Bose-Einstein Condensate to a Macrodroplet in a Dipolar Quantum Fluid.  Phys. Rev. X 6, 041039\.  doi:10.1103/PhysRevX.6.041039.
  * Chomaz et al. (2022) Chomaz, L., Ferrier-Barbut, I., Ferlaino, F., Laburthe-Tolra, B., Lev, B.L., Pfau, T., 2022\.  Dipolar physics: A review of experiments with magnetic quantum gases.  arXiv:2201.02672 .
  * Christensen et al. (2021) Christensen, E.R., Camacho-Guardian, A., Bruun, G.M., 2021.  Charged Polarons and Molecules in a Bose-Einstein Condensate.  Phys. Rev. Lett. 126, 243001\.  doi:10.1103/PhysRevLett.126.243001.
  * Christensson et al. (2009) Christensson, J., Forssén, C., Åberg, S., Reimann, S.M., 2009\.  Effective-interaction approach to the many-boson problem.  Phys. Rev. A 79, 012707\.  doi:10.1103/PhysRevA.79.012707.
  * Cidrim et al. (2021) Cidrim, A., Salasnich, L., Macrì, T., 2021.  Soliton trains after interaction quenches in bose mixtures.  New J. Phys. 23, 023022\.
  * Cikojević et al. (2019) Cikojević, V., Markić, L.V.c.v., Astrakharchik, G.E., Boronat, J., 2019\.  Universality in ultradilute liquid Bose-Bose mixtures.  Phys. Rev. A 99, 023618\.  doi:10.1103/PhysRevA.99.023618.
  * Cikojević et al. (2018) Cikojević, V., Markić, L.V., Boronat, J., 2018.  Harmonically trapped Bose–Bose mixtures: a quantum Monte Carlo study.  New J. Phys. 20, 085002\.  doi:10.1088/1367-2630/aad6cc.
  * Cikojević et al. (2018) Cikojević, V., Dželalija, K., Stipanović, P., Vranješ Markić, L., Boronat, J., 2018\.  Ultradilute quantum liquid drops.  Phys. Rev. B 97, 140502\.  doi:10.1103/PhysRevB.97.140502.
  * Colcelli et al. (2020) Colcelli, A., Defenu, N., Mussardo, G., Trombettoni, A., 2020\.  Finite temperature off-diagonal long-range order for interacting bosons.  Phys. Rev. B 102, 184510\.  doi:10.1103/PhysRevB.102.184510.
  * Collura et al. (2013) Collura, M., Sotiriadis, S., Calabrese, P., 2013.  Quench dynamics of a Tonks–Girardeau gas released from a harmonic trap.  Journal of Statistical Mechanics: Theory and Experiment 2013, P09025.  doi:10.1088/1742-5468/2013/09/p09025.
  * Cominotti et al. (2014) Cominotti, M., Rossini, D., Rizzi, M., Hekking, F., Minguzzi, A., 2014.  Optimal Persistent Currents for Interacting Bosons on a Ring with a Gauge Field.  Phys. Rev. Lett. 113, 025301\.  doi:10.1103/PhysRevLett.113.025301.
  * Cominotti et al. (2021) Cominotti, R., Berti, A., Farolfi, A., Zenesini, A., Lamporesi, G., Carusotto, I., Recati, A., Ferrari, G., 2021\.  Observation of massless and massive collective excitations with faraday patterns in a two-component superfluid.  arXiv:2112.09880 .
  * Compagno et al. (2020) Compagno, E., Quesnel, G., Minguzzi, A., Amico, L., Feinberg, D., 2020.  Multimode N00N states in driven atomtronic circuits.  Phys. Rev. Research 2, 043118\.  doi:10.1103/PhysRevResearch.2.043118.
  * Côté (2000) Côté, R., 2000.  From Classical Mobility to Hopping Conductivity: Charge Hopping in an Ultracold Gas.  Phys. Rev. Lett. 85, 5316–5319.  doi:10.1103/PhysRevLett.85.5316.
  * Côté et al. (2002) Côté, R., Kharchenko, V., Lukin, M.D., 2002.  Mesoscopic Molecular Ions in Bose-Einstein Condensates.  Phys. Rev. Lett. 89, 093001\.  doi:10.1103/PhysRevLett.89.093001.
  * Cremon et al. (2010) Cremon, J.C., Bruun, G.M., Reimann, S.M., 2010.  Tunable Wigner States with Dipolar Atoms and Molecules.  Phys. Rev. Lett. 105, 255301\.  doi:10.1103/PhysRevLett.105.255301.
  * De las Cuevas et al. (2018) De las Cuevas, G., Schuch, N., Perez-Garcia, D., Cirac, J.I., 2018\.  Continuum limits of matrix product states.  Phys. Rev. B 98, 174303\.  doi:10.1103/PhysRevB.98.174303.
  * Cui (2016) Cui, X., 2016.  Universal one-dimensional atomic gases near odd-wave resonance.  Phys. Rev. A 94, 043636\.  doi:10.1103/PhysRevA.94.043636.
  * Cui and Ho (2013) Cui, X., Ho, T.L., 2013.  Phase separation in mixtures of repulsive fermi gases driven by mass difference.  Phys. Rev. Lett. 110, 165302\.
  * Cui et al. (2008) Cui, X., Wang, Y., Zhou, F., 2008.  Quantum-fluctuation-driven coherent spin dynamics in small condensates.  Phys. Rev. A 78, 050701\.  doi:10.1103/PhysRevA.78.050701.
  * Cui et al. (2017) Cui, Y., Shen, C., Deng, M., Dong, S., Chen, C., Lü, R., Gao, B., Tey, M.K., You, L., 2017.  Observation of Broad $d$-Wave Feshbach Resonances with a Triplet Structure.  Physical Review Letters 119, 203402\.  doi:10.1103/PhysRevLett.119.203402.
  * Daley et al. (2004) Daley, A.J., Kollath, C., Schollwöck, U., Vidal, G., 2004\.  Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces.  Journal of Statistical Mechanics: Theory and Experiment 2004, P04005.  doi:10.1088/1742-5468/2004/04/p04005.
  * D’Amico and Rontani (2014) D’Amico, P., Rontani, M., 2014\.  Three interacting atoms in a one-dimensional trap: a benchmark system for computational approaches.  Journal of Physics B: Atomic, Molecular and Optical Physics 47, 065303.  doi:10.1088/0953-4075/47/6/065303.
  * Daul and Noack (1996) Daul, S., Noack, R.M., 1996\.  DMRG study of ferromagnetism in a one-dimensional Hubbard model.  Zeitschrift für Physik B Condensed Matter 103, 293–295.  doi:10.1007/s002570050376.
  * Dauxois and Peyrard (2006) Dauxois, T., Peyrard, M., 2006\.  Physics of Solitons.  Cambridge University Press.
  * Dawid et al. (2018) Dawid, A., Lewenstein, M., Tomza, M., 2018.  Two interacting ultracold molecules in a one-dimensional harmonic trap.  Phys. Rev. A 97, 063618\.  doi:10.1103/PhysRevA.97.063618.
  * De Nardis et al. (2018) De Nardis, J., Bernard, D., Doyon, B., 2018.  Hydrodynamic Diffusion in Integrable Systems.  Phys. Rev. Lett. 121, 160603\.  doi:10.1103/PhysRevLett.121.160603.
  * De Palo et al. (2020) De Palo, S., Citro, R., Orignac, E., 2020.  Variational Bethe ansatz approach for dipolar one-dimensional bosons.  Phys. Rev. B 101, 045102\.  doi:10.1103/PhysRevB.101.045102.
  * De Rosi et al. (2021) De Rosi, G., Astrakharchik, G.E., Massignan, P., 2021.  Thermal instability, evaporation, and thermodynamics of one-dimensional liquids in weakly interacting Bose-Bose mixtures.  Phys. Rev. A 103, 043316\.  doi:10.1103/PhysRevA.103.043316.
  * Decamp et al. (2017) Decamp, J., Jünemann, J., Albert, M., Rizzi, M., Minguzzi, A., Vignolo, P., 2017\.  Strongly correlated one-dimensional Bose–Fermi quantum mixtures: symmetry and correlations.  New J. Phys. 19, 125001\.  doi:10.1088/1367-2630/aa94ef.
  * Dehkharghani et al. (2015a) Dehkharghani, A., Volosniev, A., Lindgren, J., Rotureau, J., Forssén, C., Fedorov, D., Jensen, A., Zinner, N., 2015a.  Quantum magnetism in strongly interacting one-dimensional spinor Bose systems.  Sci Rep 5, 10675\.  doi:10.1038/srep10675.
  * Dehkharghani et al. (2017a) Dehkharghani, A.S., Bellotti, F.F., Zinner, N.T., 2017a.  Analytical and numerical studies of Bose–Fermi mixtures in a one-dimensional harmonic trap.  J. Phys. B: At. Mol. and Opt. Phys. 50, 144002.  doi:10.1088/1361-6455/aa7797.
  * Dehkharghani et al. (2017b) Dehkharghani, A.S., Rico, E., Zinner, N.T., Negretti, A., 2017b.  Quantum simulation of Abelian lattice gauge theories via state-dependent hopping.  Phys. Rev. A 96, 043611\.  doi:10.1103/PhysRevA.96.043611.
  * Dehkharghani et al. (2015b) Dehkharghani, A.S., Volosniev, A.G., Zinner, N.T., 2015b.  Quantum impurity in a one-dimensional trapped Bose gas.  Phys. Rev. A 92, 031601\.  doi:10.1103/PhysRevA.92.031601.
  * Dehkharghani et al. (2016) Dehkharghani, A.S., Volosniev, A.G., Zinner, N.T., 2016.  Impenetrable mass-imbalanced particles in one-dimensional harmonic traps.  Journal of Physics B: Atomic Molecular Physics 49, 085301.  doi:10.1088/0953-4075/49/8/085301.
  * Dehkharghani et al. (2018) Dehkharghani, A.S., Volosniev, A.G., Zinner, N.T., 2018.  Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas.  Phys. Rev. Lett. 121, 080405\.  doi:10.1103/PhysRevLett.121.080405.
  * Dekker et al. (2000) Dekker, N.H., Lee, C.S., Lorent, V., Thywissen, J.H., Smith, S.P., Drndić, M., Westervelt, R.M., Prentiss, M., 2000.  Guiding Neutral Atoms on a Chip.  Phys. Rev. Lett. 84, 1124–1127.  doi:10.1103/PhysRevLett.84.1124.
  * Delande and Sacha (2014) Delande, D., Sacha, K., 2014\.  Many-Body Matter-Wave Dark Soliton.  Phys. Rev. Lett. 112, 040402\.  doi:10.1103/PhysRevLett.112.040402.
  * Delehaye et al. (2015) Delehaye, M., Laurent, S., Ferrier-Barbut, I., Jin, S., Chevy, F., Salomon, C., 2015\.  Critical Velocity and Dissipation of an Ultracold Bose-Fermi Counterflow.  Phys. Rev. Lett. 115, 265303\.  doi:10.1103/PhysRevLett.115.265303.
  * D’Errico et al. (2019) D’Errico, C., Burchianti, A., Prevedelli, M., Salasnich, L., Ancilotto, F., Modugno, M., Minardi, F., Fort, C., 2019\.  Observation of quantum droplets in a heteronuclear bosonic mixture.  Phys. Rev. Research 1, 033155\.  doi:10.1103/PhysRevResearch.1.033155.
  * DeSalvo et al. (2019) DeSalvo, B., Patel, K., Cai, G., Chin, C., 2019.  Observation of fermion-mediated interactions between bosonic atoms.  Nature 568, 61–64.  doi:10.1038/s41586-019-1055-0.
  * Dettmer et al. (2001) Dettmer, S., Hellweg, D., Ryytty, P., Arlt, J.J., Ertmer, W., Sengstock, K., Petrov, D.S., Shlyapnikov, G.V., Kreutzmann, H., Santos, L., Lewenstein, M., 2001.  Observation of Phase Fluctuations in Elongated Bose-Einstein Condensates.  Phys. Rev. Lett. 87, 160406\.  doi:10.1103/PhysRevLett.87.160406.
  * Deuar and Drummond (2007) Deuar, P., Drummond, P.D., 2007\.  Correlations in a BEC Collision: First-Principles Quantum Dynamics with 150 000 Atoms.  Phys. Rev. Lett. 98, 120402\.  doi:10.1103/PhysRevLett.98.120402.
  * Deuretzbacher et al. (2014) Deuretzbacher, F., Becker, D., Bjerlin, J., Reimann, S.M., Santos, L., 2014.  Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases.  Phys. Rev. A 90, 013611\.  doi:10.1103/PhysRevA.90.013611.
  * Deuretzbacher et al. (2016) Deuretzbacher, F., Becker, D., Santos, L., 2016.  Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases.  Phys. Rev. A 94, 023606\.  doi:10.1103/PhysRevA.94.023606.
  * Deuretzbacher et al. (2010) Deuretzbacher, F., Cremon, J.C., Reimann, S.M., 2010.  Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap.  Phys. Rev. A 81, 063616\.  doi:10.1103/PhysRevA.81.063616.
  * Deuretzbacher et al. (2013) Deuretzbacher, F., Cremon, J.C., Reimann, S.M., 2013.  Erratum: Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap [Phys. Rev. A 81, 063616 (2010)].  Phys. Rev. A 87, 039903\.  doi:10.1103/PhysRevA.87.039903.
  * Deuretzbacher et al. (2008) Deuretzbacher, F., Fredenhagen, K., Becker, D., Bongs, K., Sengstock, K., Pfannkuche, D., 2008\.  Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases.  Phys. Rev. Lett. 100, 160405\.  doi:10.1103/PhysRevLett.100.160405.
  * Devreese and Alexandrov (2009) Devreese, J.T., Alexandrov, A.S., 2009\.  Fröhlich polaron and bipolaron: recent developments.  Reports on Progress in Physics 72, 066501.  doi:10.1088/0034-4885/72/6/066501.
  * Dingwall et al. (2018) Dingwall, R.J., Edmonds, M.J., Helm, J.L., Malomed, B.A., Öhberg, P., 2018.  Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory.  New J. Phys. 20, 043004\.
  * Dirac (1930) Dirac, P.A.M., 1930.  Note on Exchange Phenomena in the Thomas Atom, in: Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press. pp. 376–385.  doi:10.1017/S0305004100016108.
  * Dobrzyniecki and Sowiński (2018) Dobrzyniecki, J., Sowiński, T., 2018\.  Dynamics of a few interacting bosons escaping from an open well.  Phys. Rev. A 98, 013634\.  doi:10.1103/PhysRevA.98.013634.
  * Dobrzyniecki and Sowiński (2016) Dobrzyniecki, J., Sowiński, T., 2016\.  Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential.  The European Physical Journal D 70, 83.  doi:10.1140/epjd/e2016-70016-x.
  * Dobrzyniecki and Sowiński (2018) Dobrzyniecki, J., Sowiński, T., 2018\.  Effective two-mode description of a few ultra-cold bosons in a double-well potential.  Physics Letters A 382, 394–399.  doi:https://doi.org/10.1016/j.physleta.2017.12.027.
  * Dodd et al. (1982) Dodd, R.K., Eilbeck, J.C., Gibbon, J.D., Morris, H.C., 1982\.  Solitons and Nonlinear Wave Equations.  Academic Press, Inc.
  * Donley et al. (2001) Donley, E.A., Claussen, N.R., Cornish, S.L., Roberts, J.L., Cornell, E.A., Wieman, C.E., 2001\.  Dynamics of collapsing and exploding Bose–Einstein condensates.  Nature 412, 295–299.  doi:10.1038/35085500.
  * Doyon (2019) Doyon, B., 2019.  Generalized hydrodynamics of the classical Toda system.  Journal of Mathematical Physics 60, 073302.  doi:10.1063/1.5096892.
  * Doyon et al. (2018) Doyon, B., Yoshimura, T., Caux, J.S., 2018.  Soliton Gases and Generalized Hydrodynamics.  Phys. Rev. Lett. 120, 045301\.  doi:10.1103/PhysRevLett.120.045301.
  * Dumke et al. (2002) Dumke, R., Volk, M., Müther, T., Buchkremer, F.B.J., Birkl, G., Ertmer, W., 2002\.  Micro-optical Realization of Arrays of Selectively Addressable Dipole Traps: A Scalable Configuration for Quantum Computation with Atomic Qubits.  Phys. Rev. Lett. 89, 097903\.  doi:10.1103/PhysRevLett.89.097903.
  * Duncan et al. (2017) Duncan, C.W., Bellotti, F.F., Öhberg, P., Zinner, N.T., Valiente, M., 2017.  Mobile spin impurity in an optical lattice.  New J. Phys. 19, 075001\.  doi:10.1088/1367-2630/aa753e.
  * Duncan et al. (2017) Duncan, C.W., Loft, N.J.S., Öhberg, P., Zinner, N.T., Valiente, M., 2017.  Spin Localization of a Fermi Polaron in a Quasirandom Optical Lattice.  Few-Body Systems 58, 50\.  doi:10.1007/s00601-016-1203-0.
  * Dunjko et al. (2011) Dunjko, V., Moore, M.G., Bergeman, T., Olshanii, M., 2011\.  Confinement-induced resonances.  Advances in Atomic, Molecular, and Optical Physics 60, 461–510.
  * Dutta et al. (2015) Dutta, O., Gajda, M., Hauke, P., Lewenstein, M., Lühmann, D.S., Malomed, B.A., Sowiński, T., Zakrzewski, J., 2015\.  Non-standard Hubbard models in optical lattices: a review.  Rep. Progr. Phys. 78, 066001\.  doi:10.1088/0034-4885/78/6/066001.
  * Dutta and Lewenstein (2010) Dutta, O., Lewenstein, M., 2010\.  Unconventional superfluidity of fermions in Bose-Fermi mixtures.  Phys. Rev. A 81, 063608\.  doi:10.1103/PhysRevA.81.063608.
  * Dziarmaga and Sacha (2002) Dziarmaga, J., Sacha, K., 2002\.  Depletion of the dark soliton: The anomalous mode of the Bogoliubov theory.  Phys. Rev. A 66, 043620\.  doi:10.1103/PhysRevA.66.043620.
  * Ebert et al. (2016) Ebert, M., Volosniev, A., Hammer, H.W., 2016.  Two cold atoms in a time-dependent harmonic trap in one dimension.  Annalen der Physik 528, 693–704.  doi:10.1002/andp.201500365.
  * Edler et al. (2017) Edler, D., Mishra, C., Wächtler, F., Nath, R., Sinha, S., Santos, L., 2017\.  Quantum Fluctuations in Quasi-One-Dimensional Dipolar Bose-Einstein Condensates.  Phys. Rev. Lett. 119, 050403\.  doi:10.1103/PhysRevLett.119.050403.
  * Edmonds et al. (2020) Edmonds, M., Bland, T., Parker, N., 2020.  Quantum droplets of quasi-one-dimensional dipolar Bose–Einstein condensates.  J. Phys. Comm. 4, 125008\.  doi:10.1088/2399-6528/abcc3b.
  * Edri et al. (2020) Edri, H., Raz, B., Matzliah, N., Davidson, N., Ozeri, R., 2020.  Observation of Spin-Spin Fermion-Mediated Interactions between Ultracold Bosons.  Phys. Rev. Lett. 124, 163401\.  doi:10.1103/PhysRevLett.124.163401.
  * Ejima et al. (2011) Ejima, S., Fehske, H., Gebhard, F., 2011.  Dynamic properties of the one-dimensional Bose-Hubbard model.  EPL (Europhysics Letters) 93, 30002\.  doi:10.1209/0295-5075/93/30002.
  * Endres et al. (2016) Endres, M., Bernien, H., Keesling, A., Levine, H., Anschuetz, E.R., Krajenbrink, A., Senko, C., Vuletic, V., Greiner, M., Lukin, M.D., 2016\.  Atom-by-atom assembly of defect-free one-dimensional cold atom arrays.  Science 354, 1024–1027.  doi:10.1126/science.aah3752.
  * Erdmann et al. (2018) Erdmann, J., Mistakidis, S.I., Schmelcher, P., 2018.  Correlated tunneling dynamics of an ultracold Fermi-Fermi mixture confined in a double well.  Phys. Rev. A 98, 053614\.  doi:10.1103/PhysRevA.98.053614.
  * Erdmann et al. (2019) Erdmann, J., Mistakidis, S.I., Schmelcher, P., 2019.  Phase-separation dynamics induced by an interaction quench of a correlated Fermi-Fermi mixture in a double well.  Phys. Rev. A 99, 013605\.  doi:10.1103/PhysRevA.99.013605.
  * Ernst et al. (2011) Ernst, T., Hallwood, D.W., Gulliksen, J., Meyer, H.D., Brand, J., 2011.  Simulating strongly correlated multiparticle systems in a truncated Hilbert space.  Phys. Rev. A 84, 023623\.  doi:10.1103/PhysRevA.84.023623.
  * Essler et al. (2005) Essler, F.H.L., Frahm, H., Göhmann, F., Klümper, A., Korepin, V.E., 2005.  The One-Dimensional Hubbard Model.  Cambridge University Press.  doi:10.1017/CBO9780511534843.
  * Eto et al. (2016a) Eto, Y., Takahashi, M., Kunimi, M., Saito, H., Hirano, T., 2016a.  Nonequilibrium dynamics induced by miscible–immiscible transition in binary Bose–Einstein condensates.  New J. Phys. 18, 073029\.  doi:10.1088/1367-2630/18/7/073029.
  * Eto et al. (2016b) Eto, Y., Takahashi, M., Nabeta, K., Okada, R., Kunimi, M., Saito, H., Hirano, T., 2016b.  Bouncing motion and penetration dynamics in multicomponent Bose-Einstein condensates.  Phys. Rev. A 93, 033615\.  doi:10.1103/PhysRevA.93.033615.
  * Everitt et al. (2017) Everitt, P.J., Sooriyabandara, M.A., Guasoni, M., Wigley, P.B., Wei, C.H., McDonald, G.D., Hardman, K.S., Manju, P., Close, J.D., Kuhn, C.C.N., et al., 2017\.  Observation of a modulational instability in bose-einstein condensates.  Phys. Rev. A 96, 041601\.
  * Fabbri et al. (2015) Fabbri, N., Panfil, M., Clément, D., Fallani, L., Inguscio, M., Fort, C., Caux, J.S., 2015.  Dynamical structure factor of one-dimensional bose gases: Experimental signatures of beyond-luttinger-liquid physics.  Phys. Rev. A 91, 043617\.  doi:10.1103/PhysRevA.91.043617.
  * Faddeev (1995) Faddeev, L., 1995.  Instructive history of the quantum inverse scattering method.  Acta Applicandae Mathematica 39, 69–84.  doi:10.1007/BF00994626.
  * Fang et al. (2009) Fang, B., Vignolo, P., Miniatura, C., Minguzzi, A., 2009\.  Fermionization of a strongly interacting Bose-Fermi mixture in a one-dimensional harmonic trap.  Phys. Rev. A 79, 023623\.  doi:10.1103/PhysRevA.79.023623.
  * Fasshauer and Lode (2016) Fasshauer, E., Lode, A.U.J., 2016\.  Multiconfigurational time-dependent Hartree method for fermions: Implementation, exactness, and few-fermion tunneling to open space.  Phys. Rev. A 93, 033635\.  doi:10.1103/PhysRevA.93.033635.
  * Feiguin and White (2005) Feiguin, A.E., White, S.R., 2005\.  Finite-temperature density matrix renormalization using an enlarged Hilbert space.  Phys. Rev. B 72, 220401\.  doi:10.1103/PhysRevB.72.220401.
  * Feldmann et al. (2018) Feldmann, P., Gessner, M., Gabbrielli, M., Klempt, C., Santos, L., Pezzè, L., Smerzi, A., 2018.  Interferometric sensitivity and entanglement by scanning through quantum phase transitions in spinor Bose-Einstein condensates.  Phys. Rev. A 97, 032339\.  doi:10.1103/PhysRevA.97.032339.
  * Ferioli et al. (2019) Ferioli, G., Semeghini, G., Masi, L., Giusti, G., Modugno, G., Inguscio, M., Gallemí, A., Recati, A., Fattori, M., 2019.  Collisions of Self-Bound Quantum Droplets.  Phys. Rev. Lett. 122, 090401\.  doi:10.1103/PhysRevLett.122.090401.
  * Ferrier-Barbut et al. (2016a) Ferrier-Barbut, I., Kadau, H., Schmitt, M., Wenzel, M., Pfau, T., 2016a.  Observation of Quantum Droplets in a Strongly Dipolar Bose Gas.  Phys. Rev. Lett. 116, 215301\.  doi:10.1103/PhysRevLett.116.215301.
  * Ferrier-Barbut et al. (2016b) Ferrier-Barbut, I., Schmitt, M., Wenzel, M., Kadau, H., Pfau, T., 2016b.  Liquid quantum droplets of ultracold magnetic atoms.  J. Phys. B: At. Mol. and Opt. Phys. 49, 214004.  doi:10.1088/0953-4075/49/21/214004.
  * Fetter and Rokhsar (1998) Fetter, A.L., Rokhsar, D., 1998\.  Excited states of a dilute Bose-Einstein condensate in a harmonic trap.  Phys. Rev. A 57, 1191–1201.  doi:10.1103/PhysRevA.57.1191.
  * Fiete (2007) Fiete, G.A., 2007.  Colloquium: The spin-incoherent Luttinger liquid.  Rev. Mod. Phys. 79, 801–820.  doi:10.1103/RevModPhys.79.801.
  * Fischer et al. (2015) Fischer, U.R., Lode, A.U.J., Chatterjee, B., 2015.  Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions.  Phys. Rev. A 91, 063621\.  doi:10.1103/PhysRevA.91.063621.
  * Fishman et al. (2020) Fishman, M., White, S.R., Stoudenmire, E.M., 2020.  The itensor software library for tensor network calculations.  arXiv:2007.14822.
  * Fletcher et al. (2017) Fletcher, R.J., Lopes, R., Man, J., Navon, N., Smith, R.P., Zwierlein, M.W., Hadzibabic, Z., 2017.  Two-and three-body contacts in the unitary Bose gas.  Science 355, 377–380.  doi:10.1126/science.aai8195.
  * Flicker and Lieb (1967) Flicker, M., Lieb, E.H., 1967\.  Delta-Function Fermi Gas with Two-Spin Deviates.  Phys. Rev. 161, 179–188.  doi:10.1103/PhysRev.161.179.
  * Foerster and Ragoucy (2007) Foerster, A., Ragoucy, E., 2007\.  Exactly solvable models in atomic and molecular physics.  Nuclear Physics B 777, 373 – 403.  doi:10.1016/j.nuclphysb.2007.03.039.
  * Fogarty and Busch (2020) Fogarty, T., Busch, T., 2020\.  A many-body heat engine at criticality.  Quantum Science and Technology 6, 015003.  doi:10.1088/2058-9565/abbc63.
  * Fogarty et al. (2011) Fogarty, T., Busch, T., Goold, J., Paternostro, M., 2011\.  Non-locality of two ultracold trapped atoms.  New J. Phys. 13, 023016\.  doi:10.1088/1367-2630/13/2/023016.
  * Fogarty et al. (2021) Fogarty, T., García-March, M.Á., Santos, L.F., Harshman, N.L., 2021.  Probing the edge between integrability and quantum chaos in interacting few-atom systems.  Quantum 5, 486\.  doi:10.22331/q-2021-06-29-486.
  * Fogarty et al. (2013) Fogarty, T., Kiely, A., Campbell, S., Busch, T., 2013\.  Effect of interparticle interaction in a free-oscillation atomic interferometer.  Phys. Rev. A 87, 043630\.  doi:10.1103/PhysRevA.87.043630.
  * Fogarty et al. (2019) Fogarty, T., Ruks, L., Li, J., Busch, T., 2019.  Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility.  SciPost Phys. 6, 21\.  doi:10.21468/SciPostPhys.6.2.021.
  * Fogarty et al. (2017) Fogarty, T., Usui, A., Busch, T., Silva, A., Goold, J., 2017.  Dynamical phase transitions and temporal orthogonality in one-dimensional hard-core bosons: from the continuum to the lattice.  New J. Phys. 19, 113018\.  doi:10.1088/1367-2630/aa8aff.
  * Fokkema et al. (2014) Fokkema, T., Eliëns, I.S., Caux, J.S., 2014.  Split Fermi seas in one-dimensional Bose fluids.  Phys. Rev. A 89, 033637\.  doi:10.1103/PhysRevA.89.033637.
  * Fölling et al. (2007) Fölling, S., Trotzky, S., Cheinet, P., Feld, M., Saers, R., Widera, A., Müller, T., Bloch, I., 2007\.  Direct observation of second-order atom tunnelling.  Nature 448, 1029–1032.
  * Folman et al. (2000) Folman, R., Krüger, P., Cassettari, D., Hessmo, B., Maier, T., Schmiedmayer, J., 2000\.  Controlling Cold Atoms using Nanofabricated Surfaces: Atom Chips.  Phys. Rev. Lett. 84, 4749–4752.  doi:10.1103/PhysRevLett.84.4749.
  * Folman et al. (2002) Folman, R., Krüger, P., Schmiedmayer, J., Denschlag, J., Henkel, C., 2002.  Microscopic Atom Optics: From Wires to an Atom Chip, in: Bederson, B., Walther, H. (Eds.), Advances In Atomic, Molecular, and Optical Physics. Academic Press. volume 48, pp. 263–356.  doi:10.1016/S1049-250X(02)80011-8.
  * Fort and Modugno (2021) Fort, C., Modugno, M., 2021\.  Self-Evaporation Dynamics of Quantum Droplets in a 41K-87Rb Mixture.  Applied Sciences 11.  doi:10.3390/app11020866.
  * Fortagh et al. (1998) Fortagh, J., Grossmann, A., Zimmermann, C., Hänsch, T.W., 1998\.  Miniaturized Wire Trap for Neutral Atoms.  Phys. Rev. Lett. 81, 5310–5313.  doi:10.1103/PhysRevLett.81.5310.
  * Fortágh and Zimmermann (2007) Fortágh, J., Zimmermann, C., 2007\.  Magnetic microtraps for ultracold atoms.  Rev. Mod. Phys. 79, 235–289.  doi:10.1103/RevModPhys.79.235.
  * Frenkel (1934) Frenkel, J., 1934.  Wave Mechanics: Advanced General Theory.  Clarendon Press.
  * Friedrich and Friedrich (2006) Friedrich, H., Friedrich, H., 2006\.  Theoretical atomic physics. volume 3.  Springer.
  * Fröhlich (1954) Fröhlich, H., 1954.  Electrons in lattice fields.  Advances in Physics 3, 325–361.  URL: https://doi.org/10.1080/00018735400101213, doi:10.1080/00018735400101213, arXiv:https://doi.org/10.1080/00018735400101213.
  * Führinger et al. (2008) Führinger, M., Rachel, S., Thomale, R., Greiter, M., Schmitteckert, P., 2008.  DMRG studies of critical SU(N) spin chains.  Annalen der Physik 17, 922–936.  doi:10.1002/andp.200810326.
  * Fukuhara et al. (2013a) Fukuhara, T., Kantian, A., Endres, M., Cheneau, M., Schauß, P., Hild, S., Bellem, D., Ulrich Schollwöck, T.G., Gross, C., Bloch, I., Kuhr, S., 2013a.  Quantum dynamics of a mobile spin impurity.  Nature Phys 9, 235–241.  doi:10.1038/nphys2561.
  * Fukuhara et al. (2013b) Fukuhara, T., Schauss, P., Endres, M., Hild, S., Cheneau, M., Bloch, I., Gross, C., 2013b.  Microscopic observation of magnon bound states and their dynamics.  Nature 502, 76–79.  doi:10.1038/nature12541.
  * Fukuhara et al. (2009) Fukuhara, T., Sugawa, S., Takasu, Y., Takahashi, Y., 2009\.  All-optical formation of quantum degenerate mixtures.  Phys. Rev. A 79, 021601\.  doi:10.1103/PhysRevA.79.021601.
  * Gadway et al. (2010) Gadway, B., Pertot, D., Reimann, R., Schneble, D., 2010\.  Superfluidity of Interacting Bosonic Mixtures in Optical Lattices.  Phys. Rev. Lett. 105, 045303\.  doi:10.1103/PhysRevLett.105.045303.
  * Gangardt and Shlyapnikov (2003) Gangardt, D.M., Shlyapnikov, G.V., 2003\.  Stability and Phase Coherence of Trapped 1D Bose Gases.  Phys. Rev. Lett. 90, 010401\.  doi:10.1103/PhysRevLett.90.010401.
  * Garcia-March et al. (2019) Garcia-March, M., Harshman, N., da Silva, H., Fogarty, T., Busch, T., Lewenstein, M., Ferrando, A., 2019.  Graded-index optical fiber emulator of an interacting three-atom system: illumination control of particle statistics and classical non-separability.  Quantum 3, 210\.  doi:10.22331/q-2019-12-09-210.
  * Garcia-March and Busch (2013) Garcia-March, M.A., Busch, T., 2013\.  Quantum gas mixtures in different correlation regimes.  Phys. Rev. A 87, 063633\.  doi:10.1103/PhysRevA.87.063633.
  * García-March et al. (2016a) García-March, M.A., Dehkharghani, A.S., Zinner, N.T., 2016a.  Entanglement of an impurity in a few-body one-dimensional ideal Bose system.  Journal of Physics B: Atomic, Molecular and Optical Physics 49, 075303.  doi:10.1088/0953-4075/49/7/075303.
  * García-March et al. (2016b) García-March, M.Á., Fogarty, T., Campbell, S., Busch, T., Paternostro, M., 2016b.  Non-equilibrium thermodynamics of harmonically trapped bosons.  New J. Phys. 18, 103035\.  doi:10.1088/1367-2630/18/10/103035.
  * García-March et al. (2014) García-March, M.A., Juliá-Díaz, B., Astrakharchik, G.E., Boronat, J., Polls, A., 2014.  Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension.  Phys. Rev. A 90, 063605\.  doi:10.1103/PhysRevA.90.063605.
  * Garcia-March et al. (2013) Garcia-March, M.A., Juliá-Díaz, B., Astrakharchik, G.E., Busch, T., Boronat, J., Polls, A., 2013\.  Sharp crossover from composite fermionization to phase separation in microscopic mixtures of ultracold bosons.  Phys. Rev. A 88, 063604\.  doi:10.1103/PhysRevA.88.063604.
  * García-March et al. (2014) García-March, M.A., Juliá-Díaz, B., Astrakharchik, G.E., Busch, T., Boronat, J., Polls, A., 2014\.  Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures.  New J. Phys. 16, 103004\.  URL: https://doi.org/10.1088/1367-2630/16/10/103004, doi:10.1088/1367-2630/16/10/103004.
  * Gärttner et al. (2019) Gärttner, M., Safavi-Naini, A., Schachenmayer, J., Rey, A.M., 2019\.  Doublon dynamics of Bose-Fermi mixtures in optical lattices.  Phys. Rev. A 100, 053607\.  doi:10.1103/PhysRevA.100.053607.
  * Gati and Oberthaler (2007) Gati, R., Oberthaler, M.K., 2007\.  A bosonic Josephson junction.  J. Phys. B: At. Mol. and Opt. Phys. 40, R61.  doi:10.1088/0953-4075/40/10/R01.
  * Gaudin (1967) Gaudin, M., 1967.  Un systeme a une dimension de fermions en interaction.  Physics Letters A 24, 55 – 56.  doi:10.1016/0375-9601(67)90193-4.
  * Gautam and Adhikari (2015) Gautam, S., Adhikari, S.K., 2015\.  Analytic models for the density of a ground-state spinor condensate.  Phys. Rev. A 92, 023616\.  doi:10.1103/PhysRevA.92.023616.
  * Gemelke et al. (2009) Gemelke, N., Zhang, X., Hung, C.L., Chin, C., 2009\.  In situ observation of incompressible Mott-insulating domains in ultracold atomic gases.  Nature 460, 995–998.  doi:10.1038/nature08244.
  * Gharashi and Blume (2016) Gharashi, S.E., Blume, D., 2016\.  Broken scale invariance in time-dependent trapping potentials.  Phys. Rev. A 94, 063639\.  doi:10.1103/PhysRevA.94.063639.
  * Giamarchi (2003) Giamarchi, T., 2003.  Quantum Physics in One dimension. volume 121\.  Clarendon Press.  doi:10.1093/acprof:oso/9780198525004.001.0001.
  * Giannakeas et al. (2012) Giannakeas, P., Diakonos, F.K., Schmelcher, P., 2012.  Coupled l-wave confinement-induced resonances in cylindrically symmetric waveguides.  PHYSICAL REVIEW A 86.  doi:10.1103/PhysRevA.86.042703.
  * Giannakeas et al. (2011) Giannakeas, P., Melezhik, V.S., Schmelcher, P., 2011.  Resonant d-wave scattering in harmonic waveguides.  PHYSICAL REVIEW A 84.  doi:10.1103/PhysRevA.84.023618.
  * Giannakeas et al. (2013) Giannakeas, P., Melezhik, V.S., Schmelcher, P., 2013.  Dipolar confinement-induced resonances of ultracold gases in waveguides.  PHYSICAL REVIEW LETTERS 111.  doi:10.1103/PhysRevLett.111.183201.
  * Gillet et al. (2014) Gillet, J., Garcia-March, M.A., Busch, T., Sols, F., 2014\.  Tunneling, self-trapping, and manipulation of higher modes of a Bose-Einstein condensate in a double well.  Phys. Rev. A 89, 023614\.  doi:10.1103/PhysRevA.89.023614.
  * Girardeau (1960) Girardeau, M., 1960.  Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension.  Journal of Mathematical Physics 1, 516–523.  doi:10.1063/1.1703687.
  * Girardeau et al. (2004) Girardeau, M., Nguyen, H., Olshanii, M., 2004.  Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides.  Optics Communications 243, 3 – 22.  doi:10.1016/j.optcom.2004.09.079.
  * Girardeau and Olshanii (2004) Girardeau, M.D., Olshanii, M., 2004\.  Theory of spinor Fermi and Bose gases in tight atom waveguides.  Phys. Rev. A 70, 023608\.  doi:10.1103/PhysRevA.70.023608.
  * Girardeau et al. (2001) Girardeau, M.D., Wright, E.M., Triscari, J.M., 2001.  Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap.  Phys. Rev. A 63, 033601\.  doi:10.1103/PhysRevA.63.033601.
  * Gobert et al. (2005) Gobert, D., Kollath, C., Schollwöck, U., Schütz, G., 2005\.  Real-time dynamics in spin-$\frac{1}{2}$ chains with adaptive time-dependent density matrix renormalization group.  Phys. Rev. E 71, 036102\.  doi:10.1103/PhysRevE.71.036102.
  * Gong et al. (2018) Gong, Z., Hamazaki, R., Ueda, M., 2018.  Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.  Phys. Rev. Lett. 120, 040404\.  doi:10.1103/PhysRevLett.120.040404.
  * Goold and Busch (2008) Goold, J., Busch, T., 2008.  Ground-state properties of a Tonks-Girardeau gas in a split trap.  Phys. Rev. A 77, 063601\.  doi:10.1103/PhysRevA.77.063601.
  * Goold et al. (2010) Goold, J., Doerk, H., Idziaszek, Z., Calarco, T., Busch, T., 2010.  Ion-induced density bubble in a strongly correlated one-dimensional gas.  Phys. Rev. A 81, 041601\.  doi:10.1103/PhysRevA.81.041601.
  * Goold et al. (2009) Goold, J., Heaney, L., Busch, T., Vedral, V., 2009\.  Detection and engineering of spatial mode entanglement with ultracold bosons.  Phys. Rev. A 80, 022338\.  doi:10.1103/PhysRevA.80.022338.
  * Goold et al. (2008) Goold, J., O’Donoghue, D., Busch, T., 2008.  Low-density, one-dimensional quantum gases in the presence of a localized attractive potential.  Journal of Physics B: Atomic, Molecular and Optical Physics 41, 215301.  doi:10.1088/0953-4075/41/21/215301.
  * Görlitz et al. (2001) Görlitz, A., Vogels, J.M., Leanhardt, A.E., Raman, C., Gustavson, T.L., Abo-Shaeer, J.R., Chikkatur, A.P., Gupta, S., Inouye, S., Rosenband, T., Ketterle, W., 2001.  Realization of Bose-Einstein Condensates in Lower Dimensions.  Phys. Rev. Lett. 87, 130402\.  doi:10.1103/PhysRevLett.87.130402.
  * Grammaticos (1982) Grammaticos, B., 1982.  A soluble model for the study of the leptodermous expansions in finite nuclei.  Zeitschrift für Physik A Atoms and Nuclei 305, 257–262.
  * Granger and Blume (2004) Granger, B.E., Blume, D., 2004\.  Tuning the Interactions of Spin-Polarized Fermions Using Quasi-One-Dimensional Confinement.  Phys. Rev. Lett. 92, 133202\.  doi:10.1103/PhysRevLett.92.133202.
  * Greene et al. (2017) Greene, C.H., Giannakeas, P., Pérez-Ríos, J., 2017.  Universal few-body physics and cluster formation.  Rev. Mod. Phys. 89, 035006\.  doi:10.1103/RevModPhys.89.035006.
  * Greif et al. (2013) Greif, D., Uehlinger, T., Jotzu, G., Tarruell, L., Esslinger, T., 2013.  Short-Range Quantum Magnetism of Ultracold Fermions in an Optical Lattice.  Science 340, 1307–1310.  doi:10.1126/science.1236362.
  * Greiner et al. (2001) Greiner, M., Bloch, I., Mandel, O., Hänsch, T.W., Esslinger, T., 2001.  Exploring Phase Coherence in a 2D Lattice of Bose-Einstein Condensates.  Phys. Rev. Lett. 87, 160405\.  doi:10.1103/PhysRevLett.87.160405.
  * Greiner et al. (2002) Greiner, M., Mandel, O., Esslinger, T., Hänsch, T.W., Bloch, I., 2002.  Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms.  Nature 415, 39–44.  doi:10.1038/415039a.
  * Griesmaier et al. (2005) Griesmaier, A., Werner, J., Hensler, S., Stuhler, J., Pfau, T., 2005.  Bose-Einstein Condensation of Chromium.  Phys. Rev. Lett. 94, 160401\.  doi:10.1103/PhysRevLett.94.160401.
  * Grining et al. (2015) Grining, T., Tomza, M., Lesiuk, M., Przybytek, M., Musiał, M., Massignan, P., Lewenstein, M., Moszynski, R., 2015\.  Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment.  New J. Phys. 17, 115001\.  doi:10.1088/1367-2630/17/11/115001.
  * Grishkevich and Saenz (2009) Grishkevich, S., Saenz, A., 2009\.  Theoretical description of two ultracold atoms in a single site of a three-dimensional optical lattice using realistic interatomic interaction potentials.  Phys. Rev. A 80, 013403\.  doi:10.1103/PhysRevA.80.013403.
  * Grochowski et al. (2020) Grochowski, P.T., Karpiuk, T., Brewczyk, M., Rzążewski, K., 2020.  Breathing Mode of a Bose-Einstein Condensate Immersed in a Fermi Sea.  Phys. Rev. Lett. 125, 103401\.  doi:10.1103/PhysRevLett.125.103401.
  * Gross and Bloch (2017) Gross, C., Bloch, I., 2017.  Quantum simulations with ultracold atoms in optical lattices.  Science 357, 995–1001.  doi:10.1126/science.aal3837.
  * Grün et al. (2022) Grün, D.S., Wittmann W., K., Ymai, L.H., Links, J., Foerster, A., 2022.  Protocol designs for NOON states.  Communications Physics 5, 36\.  doi:10.1038/s42005-022-00812-7.
  * Grün et al. (2020) Grün, D.S., Ymai, L.H., Wilsmann, K.W., Tonel, A.P., Foerster, A., Links, J., 2020\.  Integrable atomtronic interferometry.  arXiv:2004.11987.
  * Grünzweig et al. (2010) Grünzweig, T., Hilliard, A., McGovern, M., Andersen, M., 2010\.  Near-deterministic preparation of a single atom in an optical microtrap.  Nature Physics 6, 951–954.  doi:10.1038/nphys1778.
  * Grusdt et al. (2017) Grusdt, F., Astrakharchik, G.E., Demler, E., 2017.  Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm.  New J. Phys. 19, 103035\.  doi:10.1088/1367-2630/aa8a2e.
  * Gu and Yin (2020) Gu, Q., Yin, L., 2020.  Phonon stability and sound velocity of quantum droplets in a boson mixture.  Phys. Rev. B 102, 220503\.  doi:10.1103/PhysRevB.102.220503.
  * Guan and Blume (2015) Guan, Q., Blume, D., 2015.  Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling.  Phys. Rev. A 92, 023641\.  doi:10.1103/PhysRevA.92.023641.
  * Guan et al. (2019) Guan, Q., Klinkhamer, V., Klemt, R., Becher, J.H., Bergschneider, A., Preiss, P.M., Jochim, S., Blume, D., 2019\.  Density Oscillations Induced by Individual Ultracold Two-Body Collisions.  Phys. Rev. Lett. 122, 083401\.  doi:10.1103/PhysRevLett.122.083401.
  * Guan et al. (2014) Guan, Q., Yin, X.Y., Gharashi, S.E., Blume, D., 2014\.  Energy spectrum of a harmonically trapped two-atom system with spin–orbit coupling.  Journal of Physics B: Atomic, Molecular and Optical Physics 47, 161001.  doi:10.1088/0953-4075/47/16/161001.
  * Guan et al. (2013) Guan, X.W., Batchelor, M.T., Lee, C., 2013.  Fermi gases in one dimension: From Bethe ansatz to experiments.  Rev. Mod. Phys. 85, 1633–1691.  doi:10.1103/RevModPhys.85.1633.
  * Guéry-Odelin et al. (2019) Guéry-Odelin, D., Ruschhaupt, A., Kiely, A., Torrontegui, E., Martínez-Garaot, S., Muga, J.G., 2019\.  Shortcuts to adiabaticity: Concepts, methods, and applications.  Rev. Mod. Phys. 91, 045001\.  doi:10.1103/RevModPhys.91.045001.
  * Guijarro et al. (2018) Guijarro, G., Pricoupenko, A., Astrakharchik, G.E., Boronat, J., Petrov, D.S., 2018.  One-dimensional three-boson problem with two- and three-body interactions.  Phys. Rev. A 97, 061605\.  doi:10.1103/PhysRevA.97.061605.
  * Günter et al. (2005) Günter, K., Stöferle, T., Moritz, H., Köhl, M., Esslinger, T., 2005.  $p$-Wave Interactions in Low-Dimensional Fermionic Gases.  Phys. Rev. Lett. 95, 230401\.  doi:10.1103/PhysRevLett.95.230401.
  * Guo et al. (2021) Guo, Z., Jia, F., Li, L., Ma, Y., Hutson, J.M., Cui, X., Wang, D., 2021.  Lee-Huang-Yang effects in the ultracold mixture of ${}^{23}\mathrm{Na}$ and ${}^{87}\mathrm{Rb}$ with attractive interspecies interactions.  Phys. Rev. Research 3, 033247\.  doi:10.1103/PhysRevResearch.3.033247.
  * Gutierrez et al. (2021) Gutierrez, E.M., de Oliveira, G.A., Farias, K.M., Bagnato, V.S., Castilho, P.C.M., 2021.  Miscibility Regimes in a 23Na–39K Quantum Mixture.  Applied Sciences 11, 9099\.  doi:10.3390/app11199099.
  * Guzman et al. (2011) Guzman, J., Jo, G.B., Wenz, A.N., Murch, K.W., Thomas, C.K., Stamper-Kurn, D.M., 2011\.  Long-time-scale dynamics of spin textures in a degenerate $F=1$ 87Rb spinor Bose gas.  Phys. Rev. A 84, 063625\.  doi:10.1103/PhysRevA.84.063625.
  * Gwak et al. (2021) Gwak, Y., Marchukov, O.V., Fischer, U.R., 2021.  Benchmarking the multiconfigurational Hartree method by the exact wavefunction of two harmonically trapped bosons with contact interaction.  doi:https://doi.org/10.1016/j.aop.2021.168592.
  * Häberle and Freyberger (2014) Häberle, T.S., Freyberger, M., 2014\.  Entangled particles in a dynamically controlled trap.  Phys. Rev. A 89, 052332\.  doi:10.1103/PhysRevA.89.052332.
  * Hadizadeh et al. (2011) Hadizadeh, M.R., Yamashita, M.T., Tomio, L., Delfino, A., Frederico, T., 2011.  Scaling Properties of Universal Tetramers.  Phys. Rev. Lett. 107, 135304\.  doi:10.1103/PhysRevLett.107.135304.
  * Hadzibabic et al. (2002) Hadzibabic, Z., Stan, C.A., Dieckmann, K., Gupta, S., Zwierlein, M.W., Görlitz, A., Ketterle, W., 2002.  Two-Species Mixture of Quantum Degenerate Bose and Fermi Gases.  Phys. Rev. Lett. 88, 160401\.  doi:10.1103/PhysRevLett.88.160401.
  * Haldar and Alon (2018) Haldar, S.K., Alon, O.E., 2018\.  Impact of the range of the interaction on the quantum dynamics of a bosonic Josephson junction.  Chem. Phys. 509, 72–80.  doi:10.1016/j.chemphys.2018.01.017.
  * Hall et al. (1998) Hall, D.S., Matthews, M.R., Wieman, C.E., Cornell, E.A., 1998\.  Measurements of Relative Phase in Two-Component Bose-Einstein Condensates.  Phys. Rev. Lett. 81, 1543–1546.  doi:10.1103/PhysRevLett.81.1543.
  * Hallberg (1995) Hallberg, K.A., 1995.  Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems.  Phys. Rev. B 52, R9827–R9830.  doi:10.1103/PhysRevB.52.R9827.
  * Haller et al. (2009) Haller, E., Gustavsson, M., Mark, M.J., Danzl, J.G., Hart, R., Pupillo, G., Nägerl, H.C., 2009.  Realization of an Excited, Strongly Correlated Quantum Gas Phase.  Science 325, 1224–1227.  doi:10.1126/science.1175850.
  * Haller et al. (2010) Haller, E., Mark, M.J., Hart, R., Danzl, J.G., Reichsöllner, L., Melezhik, V., Schmelcher, P., Nägerl, H.C., 2010\.  Confinement-Induced Resonances in Low-Dimensional Quantum Systems.  Phys. Rev. Lett. 104, 153203\.  doi:10.1103/PhysRevLett.104.153203.
  * Hallwood et al. (2010) Hallwood, D.W., Ernst, T., Brand, J., 2010.  Robust mesoscopic superposition of strongly correlated ultracold atoms.  Phys. Rev. A 82, 063623\.  doi:10.1103/PhysRevA.82.063623.
  * Hammer and Furnstahl (2000) Hammer, H.W., Furnstahl, R., 2000\.  Effective field theory for dilute Fermi systems.  Nuclear Physics A 678, 277–294.  doi:https://doi.org/10.1016/S0375-9474(00)00325-0.
  * Hanson et al. (2007) Hanson, R., Kouwenhoven, L.P., Petta, J.R., Tarucha, S., Vandersypen, L.M.K., 2007.  Spins in few-electron quantum dots.  Rev. Mod. Phys. 79, 1217–1265.  doi:10.1103/RevModPhys.79.1217.
  * Hao (2016) Hao, Y., 2016.  The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction.  The European Phys. J. D 70, 120\.  doi:10.1140/epjd/e2016-70076-x.
  * Hao (2017) Hao, Y., 2017.  Ground state properties of anti-ferromagnetic spinor bose gases in one dimension.  The European Phys. J. D 71, 1–6.  doi:10.1140/epjd/e2017-70483-5.
  * Hao et al. (2007) Hao, Y., Zhang, Y., Chen, S., 2007.  One-dimensional fermionic gases with attractive $p$-wave interaction in a hard-wall trap.  Phys. Rev. A 76, 063601\.  doi:10.1103/PhysRevA.76.063601.
  * Hao et al. (2006a) Hao, Y., Zhang, Y., Liang, J.Q., Chen, S., 2006a.  Density distributions for trapped one-dimensional spinor gases.  Phys. Rev. A 73, 053605\.  doi:10.1103/PhysRevA.73.053605.
  * Hao et al. (2006b) Hao, Y., Zhang, Y., Liang, J.Q., Chen, S., 2006b.  Ground-state properties of one-dimensional ultracold bose gases in a hard-wall trap.  Phys. Rev. A 73, 063617\.  doi:10.1103/PhysRevA.73.063617.
  * Harshman (2012) Harshman, N.L., 2012.  Symmetries of three harmonically trapped particles in one dimension.  Phys. Rev. A 86, 052122\.  doi:10.1103/PhysRevA.86.052122.
  * Harshman (2016a) Harshman, N.L., 2016a.  Five is More: Comments on Symmetry, Integrability, and Solvability for a Few Particles in a One-Dimensional Trap.  EPJ Web of Conferences 113, 02007\.  doi:10.1051/epjconf/201611302007.
  * Harshman (2016b) Harshman, N.L., 2016b.  One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles.  Few-Body Systems 57, 11–43.  doi:10.1007/s00601-015-1024-6.
  * Harshman et al. (2017) Harshman, N.L., Olshanii, M., Dehkharghani, A.S., Volosniev, A.G., Jackson, S.G., Zinner, N.T., 2017\.  Integrable Families of Hard-Core Particles with Unequal Masses in a One-Dimensional Harmonic Trap.  Phys. Rev. X 7, 041001\.  doi:10.1103/PhysRevX.7.041001.
  * Hartke et al. (2022) Hartke, T., Oreg, B., Jia, N., Zwierlein, M., 2022.  Quantum register of fermion pairs.  Nature 601, 537–541.
  * He et al. (2009) He, Y.Z., Chen, Z.F., Li, Z.B., Bao, C.G., 2009.  Strong spin oscillation of small spin-1 condensates caused by an inclined weak magnetic field.  Phys. Rev. A 80, 023620\.  doi:10.1103/PhysRevA.80.023620.
  * Henderson et al. (2009) Henderson, K., Ryu, C., MacCormick, C., Boshier, M.G., 2009\.  Experimental demonstration of painting arbitrary and dynamic potentials for bose–einstein condensates.  New J. Phys. 11, 043030\.
  * Hess et al. (2014) Hess, B., Giannakeas, P., Schmelcher, P., 2014.  Energy-dependent l-wave confinement-induced resonances.  PHYSICAL REVIEW A 89.  doi:10.1103/PhysRevA.89.052716.
  * Hess et al. (2015) Hess, B., Giannakeas, P., Schmelcher, P., 2015.  Analytical approach to atomic multichannel collisions in tight harmonic waveguides.  PHYSICAL REVIEW A 92.  doi:10.1103/PhysRevA.92.022706.
  * Hilker et al. (2017) Hilker, T.A., Salomon, G., Grusdt, F., Omran, A., Boll, M., Demler, E., Bloch, I., Gross, C., 2017\.  Revealing hidden antiferromagnetic correlations in doped Hubbard chains via string correlators.  Science 357, 484–487.  doi:10.1126/science.aam8990.
  * Hinrichs et al. (2014) Hinrichs, A., Novak, E., Ullrich, M., Wozniakowski, H., 2014\.  The Curse of Dimensionality for Numerical Integration of Smooth Functions.  Math. Comp. 83, 2853–2863.  doi:10.1090/S0025-5718-2014-02855-X.
  * Hirota (1972) Hirota, R., 1972.  Exact Solution of the Modified Korteweg-de Vries Equation for Multiple Collisions of Solitons.  Journal of the Physical Society of Japan 33, 1456–1458.  doi:10.1143/JPSJ.33.1456.
  * Hirota and Satsuma (1981) Hirota, R., Satsuma, J., 1981\.  Soliton solutions of a coupled Korteweg-de Vries equation.  Phys. Lett. A 85, 407–408.  doi:10.1016/0375-9601(81)90423-0.
  * Ho (1998) Ho, T.L., 1998.  Spinor Bose Condensates in Optical Traps.  Phys. Rev. Lett. 81, 742–745.  doi:10.1103/PhysRevLett.81.742.
  * Ho and Shenoy (1996) Ho, T.L., Shenoy, V.B., 1996\.  Binary Mixtures of Bose Condensates of Alkali Atoms.  Phys. Rev. Lett. 77, 3276–3279.  doi:10.1103/PhysRevLett.77.3276.
  * Hofferberth et al. (2007) Hofferberth, S., Lesanovsky, I., Fischer, B., Schumm, T., Schmiedmayer, J., 2007.  Non-equilibrium coherence dynamics in one-dimensional Bose gases.  Nature 449, 324–327.  doi:10.1038/nature06149.
  * Hofferberth et al. (2008) Hofferberth, S., Lesanovsky, I., Schumm, T., Imambekov, A., Gritsev, V., Demler, E., Schmiedmayer, J., 2008.  Probing quantum and thermal noise in an interacting many-body system.  Nature Physics 4, 489–495.  doi:10.1038/nphys941.
  * Hohenberg (1967) Hohenberg, P.C., 1967.  Existence of Long-Range Order in One and Two Dimensions.  Phys. Rev. 158, 383–386.  doi:10.1103/PhysRev.158.383.
  * Hoinka et al. (2013) Hoinka, S., Lingham, M., Fenech, K., Hu, H., Vale, C.J., Drut, J.E., Gandolfi, S., 2013.  Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas.  Phys. Rev. Lett. 110, 055305\.  doi:10.1103/PhysRevLett.110.055305.
  * Holdaway et al. (2013) Holdaway, D.I.H., Weiss, C., Gardiner, S.A., 2013.  Collision dynamics and entanglement generation of two initially independent and indistinguishable boson pairs in one-dimensional harmonic confinement.  Phys. Rev. A 87, 043632\.  doi:10.1103/PhysRevA.87.043632.
  * Holten et al. (2021) Holten, M., Bayha, L., Subramanian, K., Heintze, C., Preiss, P.M., Jochim, S., 2021\.  Observation of Pauli Crystals.  Phys. Rev. Lett. 126, 020401\.  doi:10.1103/PhysRevLett.126.020401.
  * Horodecki et al. (2009) Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K., 2009\.  Quantum entanglement.  Rev. Mod. Phys. 81, 865–942.  doi:10.1103/RevModPhys.81.865.
  * Hu et al. (2009) Hu, A., Mathey, L., Danshita, I., Tiesinga, E., Williams, C.J., Clark, C.W., 2009\.  Counterflow and paired superfluidity in one-dimensional Bose mixtures in optical lattices.  Phys. Rev. A 80, 023619\.  doi:10.1103/PhysRevA.80.023619.
  * Hu et al. (2016a) Hu, H., Guan, L., Chen, S., 2016a.  Strongly interacting Bose–Fermi mixtures in one dimension.  New J. Phys. 18, 025009\.  doi:10.1088/1367-2630/18/2/025009.
  * Hu and Liu (2020a) Hu, H., Liu, X.J., 2020a.  Collective excitations of a spherical ultradilute quantum droplet.  Phys. Rev. A 102, 053303\.  doi:10.1103/PhysRevA.102.053303.
  * Hu and Liu (2020b) Hu, H., Liu, X.J., 2020b.  Microscopic derivation of the extended Gross-Pitaevskii equation for quantum droplets in binary Bose mixtures.  Phys. Rev. A 102, 043302\.  doi:10.1103/PhysRevA.102.043302.
  * Hu et al. (2016b) Hu, H., Pan, L., Chen, S., 2016b.  Strongly interacting one-dimensional quantum gas mixtures with weak $p$-wave interactions.  Phys. Rev. A 93, 033636\.  doi:10.1103/PhysRevA.93.033636.
  * Hu et al. (2020) Hu, H., Wang, J., Liu, X.J., 2020.  Microscopic pairing theory of a binary Bose mixture with interspecies attractions: Bosonic BEC-BCS crossover and ultradilute low-dimensional quantum droplets.  Phys. Rev. A 102, 043301\.  doi:10.1103/PhysRevA.102.043301.
  * Hu et al. (2016c) Hu, M.G., Van de Graaff, M.J., Kedar, D., Corson, J.P., Cornell, E.A., Jin, D.S., 2016c.  Bose Polarons in the Strongly Interacting Regime.  Phys. Rev. Lett. 117, 055301\.  doi:10.1103/PhysRevLett.117.055301.
  * Huang et al. (2019) Huang, B., Fritsche, I., Lous, R.S., Baroni, C., Walraven, J.T.M., Kirilov, E., Grimm, R., 2019.  Breathing mode of a Bose-Einstein condensate repulsively interacting with a fermionic reservoir.  Phys. Rev. A 99, 041602\.  doi:10.1103/PhysRevA.99.041602.
  * Huang and Yang (1957) Huang, K., Yang, C.N., 1957\.  Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction.  Phys. Rev. 105, 767–775.  doi:10.1103/PhysRev.105.767.
  * Huber et al. (2019) Huber, D., Hammer, H.W., Volosniev, A.G., 2019.  In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas.  Phys. Rev. Research 1, 033177\.  doi:10.1103/PhysRevResearch.1.033177.
  * Huber et al. (2021) Huber, D., Marchukov, O.V., Hammer, H.W., Volosniev, A.G., 2021\.  Morphology of three-body quantum states from machine learning.  New Journal of Physics 23, 065009\.  doi:10.1088/1367-2630/ac0576.
  * Huh et al. (2020) Huh, S., Kim, K., Kwon, K., Choi, J.y., 2020.  Observation of a strongly ferromagnetic spinor Bose-Einstein condensate.  Phys. Rev. Research 2, 033471\.  doi:10.1103/PhysRevResearch.2.033471.
  * Idziaszek and Calarco (2005) Idziaszek, Z., Calarco, T., 2005\.  Two atoms in an anisotropic harmonic trap.  Phys. Rev. A 71, 050701\.  doi:10.1103/PhysRevA.71.050701.
  * Idziaszek and Calarco (2006) Idziaszek, Z., Calarco, T., 2006\.  Pseudopotential Method for Higher Partial Wave Scattering.  Phys. Rev. Lett. 96, 013201\.  doi:10.1103/PhysRevLett.96.013201.
  * Idziaszek et al. (2009) Idziaszek, Z., Calarco, T., Julienne, P.S., Simoni, A., 2009\.  Quantum theory of ultracold atom-ion collisions.  Phys. Rev. A 79, 010702\.  doi:10.1103/PhysRevA.79.010702.
  * Ilg et al. (2018) Ilg, T., Kumlin, J., Santos, L., Petrov, D.S., Büchler, H.P., 2018.  Dimensional crossover for the beyond-mean-field correction in Bose gases.  Phys. Rev. A 98, 051604\.  doi:10.1103/PhysRevA.98.051604.
  * Imambekov and Demler (2006a) Imambekov, A., Demler, E., 2006a.  Applications of exact solution for strongly interacting one-dimensional bose–fermi mixture: Low-temperature correlation functions, density profiles, and collective modes.  Annals of Physics 321, 2390–2437.  doi:10.1016/j.aop.2005.11.017.
  * Imambekov and Demler (2006b) Imambekov, A., Demler, E., 2006b.  Exactly solvable case of a one-dimensional Bose-Fermi mixture.  Phys. Rev. A 73, 021602\.  doi:10.1103/PhysRevA.73.021602.
  * Imambekov et al. (2010) Imambekov, A., Lukyanov, A.A., Glazman, L.I., Gritsev, V., 2010\.  Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions.  Phys. Rev. Lett. 104, 040402\.  doi:10.1103/PhysRevLett.104.040402.
  * Inouye et al. (1998) Inouye, S., Andrews, M., Stenger, J., Miesner, H.J., Stamper-Kurn, D., Ketterle, W., 1998\.  Observation of Feshbach resonances in a Bose–Einstein condensate.  Nature 392, 151–154.  doi:10.1038/32354.
  * Inouye et al. (2004) Inouye, S., Goldwin, J., Olsen, M.L., Ticknor, C., Bohn, J.L., Jin, D.S., 2004\.  Observation of Heteronuclear Feshbach Resonances in a Mixture of Bosons and Fermions.  Phys. Rev. Lett. 93, 183201\.  doi:10.1103/PhysRevLett.93.183201.
  * Isacsson et al. (2005) Isacsson, A., Cha, M.C., Sengupta, K., Girvin, S.M., 2005\.  Superfluid-insulator transitions of two-species bosons in an optical lattice.  Phys. Rev. B 72, 184507\.  doi:10.1103/PhysRevB.72.184507.
  * Iversen et al. (2020) Iversen, M., Barfknecht, R.E., Foerster, A., Zinner, N.T., 2020\.  State transfer in an inhomogeneous spin chain.  Journal of Physics B: Atomic, Molecular and Optical Physics 53, 155301.  doi:10.1088/1361-6455/ab9076.
  * Jachymski et al. (2017) Jachymski, K., Meinert, F., Veksler, H., Julienne, P.S., Fishman, S., 2017.  Ultracold atoms in quasi-one-dimensional traps: A step beyond the Lieb-Liniger model.  Phys. Rev. A 95, 052703\.  doi:10.1103/PhysRevA.95.052703.
  * Jacob et al. (2012) Jacob, D., Shao, L., Corre, V., Zibold, T., De Sarlo, L., Mimoun, E., Dalibard, J., Gerbier, F., 2012\.  Phase diagram of spin-1 antiferromagnetic Bose-Einstein condensates.  Phys. Rev. A 86, 061601\.  doi:10.1103/PhysRevA.86.061601.
  * Jager et al. (2020) Jager, J., Barnett, R., Will, M., Fleischhauer, M., 2020\.  Strong-coupling Bose polarons in one dimension: Condensate deformation and modified Bogoliubov phonons.  Phys. Rev. Research 2, 033142\.  doi:10.1103/PhysRevResearch.2.033142.
  * Jaschke and Carr (2018) Jaschke, D., Carr, L.D., 2018\.  Open source matrix product states: exact diagonalization and other entanglement-accurate methods revisited in quantum systems.  Journal of Physics A: Mathematical and Theoretical 51, 465302.  doi:10.1088/1751-8121/aae4d1.
  * Jen and Yip (2016) Jen, H.H., Yip, S.K., 2016.  Spin-incoherent one-dimensional spin-1 Bose Luttinger liquid.  Phys. Rev. A 94, 033601\.  doi:10.1103/PhysRevA.94.033601.
  * Jen and Yip (2017) Jen, H.H., Yip, S.K., 2017.  Spin-incoherent Luttinger liquid of one-dimensional spin-1 Tonks-Girardeau Bose gases: Spin-dependent properties.  Phys. Rev. A 95, 053631\.  doi:10.1103/PhysRevA.95.053631.
  * Jensen et al. (2004) Jensen, A.S., Riisager, K., Fedorov, D.V., Garrido, E., 2004\.  Structure and reactions of quantum halos.  Rev. Mod. Phys. 76, 215–261.  doi:10.1103/RevModPhys.76.215.
  * Jensen et al. (2019) Jensen, J.H.M., Sørensen, J.J., Mølmer, K., Sherson, J.F., 2019\.  Time-optimal control of collisional $\sqrt{\mathrm{swap}}$ gates in ultracold atomic systems.  Phys. Rev. A 100, 052314\.  doi:10.1103/PhysRevA.100.052314.
  * Jeszenszki et al. (2019) Jeszenszki, P., Alavi, A., Brand, J., 2019.  Are smooth pseudopotentials a good choice for representing short-range interactions?  Phys. Rev. A 99, 033608\.  doi:10.1103/PhysRevA.99.033608.
  * Jeszenszki et al. (2020) Jeszenszki, P., Ebling, U., Luo, H., Alavi, A., Brand, J., 2020.  Eliminating the wave-function singularity for ultracold atoms by a similarity transformation.  Phys. Rev. Research 2, 043270\.  doi:10.1103/PhysRevResearch.2.043270.
  * Jeszenszki et al. (2018) Jeszenszki, P., Luo, H., Alavi, A., Brand, J., 2018\.  Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions.  Phys. Rev. A 98, 053627\.  doi:10.1103/PhysRevA.98.053627.
  * Jimbo (1989) Jimbo, M., 1989.  Introduction to the Yang-Baxter equation.  International Journal of Modern Physics A 04, 3759–3777.  doi:10.1142/S0217751X89001503.
  * Jo et al. (2007) Jo, G.B., Shin, Y., Will, S., Pasquini, T.A., Saba, M., Ketterle, W., Pritchard, D.E., Vengalattore, M., Prentiss, M., 2007\.  Long Phase Coherence Time and Number Squeezing of Two Bose-Einstein Condensates on an Atom Chip.  Phys. Rev. Lett. 98, 030407\.  doi:10.1103/PhysRevLett.98.030407.
  * Jørgensen et al. (2016) Jørgensen, N.B., Wacker, L., Skalmstang, K.T., Parish, M.M., Levinsen, J., Christensen, R.S., Bruun, G.M., Arlt, J.J., 2016\.  Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate.  Phys. Rev. Lett. 117, 055302\.  doi:10.1103/PhysRevLett.117.055302.
  * Juliá-Díaz et al. (2010) Juliá-Díaz, B., Dagnino, D., Lewenstein, M., Martorell, J., Polls, A., 2010.  Macroscopic self-trapping in Bose-Einstein condensates: Analysis of a dynamical quantum phase transition.  Phys. Rev. A 81, 023615\.  doi:10.1103/PhysRevA.81.023615.
  * Kadau et al. (2016) Kadau, H., Schmitt, M., Wenzel, M., Wink, C., Maier, T., Ferrier-Barbut, I., Pfau, T., 2016.  Observing the rosensweig instability of a quantum ferrofluid.  Nature 530, 194–197.
  * Kahan et al. (2019) Kahan, A., Fogarty, T., Li, J., Busch, T., 2019.  Driving Interactions Efficiently in a Composite Few-Body System.  Universe 5.  doi:10.3390/universe5100207.
  * Kain and Ling (2018) Kain, B., Ling, H.Y., 2018.  Analytical study of static beyond-Fröhlich Bose polarons in one dimension.  Phys. Rev. A 98, 033610\.  doi:10.1103/PhysRevA.98.033610.
  * Kanjilal and Blume (2004) Kanjilal, K., Blume, D., 2004\.  Nondivergent pseudopotential treatment of spin-polarized fermions under one- and three-dimensional harmonic confinement.  Phys. Rev. A 70, 042709\.  doi:10.1103/PhysRevA.70.042709.
  * Kanjilal and Bhattacharyay (2021) Kanjilal, P.K., Bhattacharyay, A., 2021\.  A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field.  arXiv:2106.03703.
  * Kantian et al. (2014) Kantian, A., Schollwöck, U., Giamarchi, T., 2014.  Competing Regimes of Motion of 1D Mobile Impurities.  Phys. Rev. Lett. 113, 070601\.  doi:10.1103/PhysRevLett.113.070601.
  * Kao et al. (2021) Kao, W., Li, K.Y., Lin, K.Y., Gopalakrishnan, S., Lev, B.L., 2021.  Topological pumping of a 1D dipolar gas into strongly correlated prethermal states.  Science 371, 296–300.  doi:10.1126/science.abb4928.
  * Karpiuk et al. (2004) Karpiuk, T., Brewczyk, M., Ospelkaus-Schwarzer, S., Bongs, K., Gajda, M., Rza¸żewski, K., 2004.  Soliton Trains in Bose-Fermi Mixtures.  Phys. Rev. Lett. 93, 100401\.  doi:10.1103/PhysRevLett.93.100401.
  * Karrasch et al. (2012) Karrasch, C., Bardarson, J.H., Moore, J.E., 2012.  Finite-Temperature Dynamical Density Matrix Renormalization Group and the Drude Weight of Spin-$1/2$ Chains.  Phys. Rev. Lett. 108, 227206\.  doi:10.1103/PhysRevLett.108.227206.
  * Karrasch et al. (2013) Karrasch, C., Bardarson, J.H., Moore, J.E., 2013.  Reducing the numerical effort of finite-temperature density matrix renormalization group calculations.  New J. Phys. 15, 083031\.  doi:10.1088/1367-2630/15/8/083031.
  * Karski et al. (2009) Karski, M., Förster, L., Choi, J.M., Steffen, A., Alt, W., Meschede, D., Widera, A., 2009.  Quantum Walk in Position Space with Single Optically Trapped Atoms.  Science 325, 174–177.  doi:10.1126/science.1174436.
  * Kartashov et al. (2018) Kartashov, Y.V., Malomed, B.A., Tarruell, L., Torner, L., 2018\.  Three-dimensional droplets of swirling superfluids.  Phys. Rev. A 98, 013612\.  doi:10.1103/PhysRevA.98.013612.
  * Katsimiga et al. (2017a) Katsimiga, G.C., Koutentakis, G.M., Mistakidis, S.I., Kevrekidis, P.G., Schmelcher, P., 2017a.  Dark–bright soliton dynamics beyond the mean-field approximation.  New J. Phys. 19, 073004\.  doi:10.1088/1367-2630/aa766b.
  * Katsimiga et al. (2020) Katsimiga, G.C., Mistakidis, S.I., Bersano, T.M., Ome, M.K.H., Mossman, S.M., Mukherjee, K., Schmelcher, P., Engels, P., Kevrekidis, P.G., 2020.  Observation and analysis of multiple dark-antidark solitons in two-component Bose-Einstein condensates.  Phys. Rev. A 102, 023301\.  doi:10.1103/PhysRevA.102.023301.
  * Katsimiga et al. (2017b) Katsimiga, G.C., Mistakidis, S.I., Koutentakis, G.M., Kevrekidis, P.G., Schmelcher, P., 2017b.  Many-body quantum dynamics in the decay of bent dark solitons of Bose–Einstein condensates.  New J. Phys. 19, 123012\.  doi:10.1088/1367-2630/aa96f6.
  * Katsimiga et al. (2018) Katsimiga, G.C., Mistakidis, S.I., Koutentakis, G.M., Kevrekidis, P.G., Schmelcher, P., 2018.  Many-body dissipative flow of a confined scalar Bose-Einstein condensate driven by a Gaussian impurity.  Phys. Rev. A 98, 013632\.  doi:10.1103/PhysRevA.98.013632.
  * Katsimiga et al. (2021) Katsimiga, G.C., Mistakidis, S.I., Schmelcher, P., Kevrekidis, P.G., 2021\.  Phase diagram, stability and magnetic properties of nonlinear excitations in spinor Bose–Einstein condensates.  New J. Phys. 23, 013015\.  doi:10.1088/1367-2630/abd27c.
  * Kaufman et al. (2015) Kaufman, A., Lester, B., Foss-Feig, M., Wall, M., Rey, A., Regal, C., 2015.  Entangling two transportable neutral atoms via local spin exchange.  Nature 527, 208–211.  doi:10.1038/nature16073.
  * Kaufman et al. (2014) Kaufman, A., Lester, B., Reynolds, C., Wall, M., Foss-Feig, M., Hazzard, K., Rey, A., Regal, C., 2014.  Two-particle quantum interference in tunnel-coupled optical tweezers.  Science 345, 306–309.  doi:10.1126/science.1250057.
  * Kawaguchi (2014) Kawaguchi, Y., 2014.  Goldstone-mode instability leading to fragmentation in a spinor Bose-Einstein condensate.  Phys. Rev. A 89, 033627\.  doi:10.1103/PhysRevA.89.033627.
  * Kawaguchi and Ueda (2012) Kawaguchi, Y., Ueda, M., 2012\.  Spinor bose–einstein condensates.  Phys. Rep. 520, 253–381.  doi:10.1016/j.physrep.2012.07.005.
  * Kay (2010) Kay, A., 2010.  Perfect, efficient, state transfer and its application as a constructive tool.  International Journal of Quantum Information 08, 641–676.  doi:10.1142/S0219749910006514.
  * Kehrberger et al. (2018) Kehrberger, L.M.A., Bolsinger, V.J., Schmelcher, P., 2018.  Quantum dynamics of two trapped bosons following infinite interaction quenches.  Phys. Rev. A 97, 013606\.  doi:10.1103/PhysRevA.97.013606.
  * Keiler et al. (2020) Keiler, K., Mistakidis, S.I., Schmelcher, P., 2020.  Doping a lattice-trapped bosonic species with impurities: from ground state properties to correlated tunneling dynamics.  New J. Phys. 22, 083003\.  doi:10.1088/1367-2630/ab9e34.
  * Keiler and Schmelcher (2019) Keiler, K., Schmelcher, P., 2019\.  Interaction-induced single-impurity tunneling in a binary mixture of trapped ultracold bosons.  Phys. Rev. A 100, 043616\.  doi:10.1103/PhysRevA.100.043616.
  * Keller and Fogarty (2016) Keller, T., Fogarty, T., 2016\.  Probing the out-of-equilibrium dynamics of two interacting atoms.  Phys. Rev. A 94, 063620\.  doi:10.1103/PhysRevA.94.063620.
  * Keller et al. (2022) Keller, T., Fogarty, T., Busch, T., 2022.  Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate.  Phys. Rev. Lett. 128, 053401\.  doi:10.1103/PhysRevLett.128.053401.
  * Kevrekidis and Frantzeskakis (2016) Kevrekidis, P., Frantzeskakis, D., 2016\.  Solitons in coupled nonlinear Schrödinger models: A survey of recent developments.  Reviews in Physics 1, 140–153.  doi:https://doi.org/10.1016/j.revip.2016.07.002.
  * Kevrekidis et al. (2007) Kevrekidis, P.G., Frantzeskakis, D.J., Carretero-González, R., 2007.  Emergent nonlinear phenomena in Bose-Einstein condensates: theory and experiment.  Springer.  doi:10.1007/978-3-540-73591-5.
  * Kevrekidis et al. (2015) Kevrekidis, P.G., Frantzeskakis, D.J., Carretero-González, R., 2015.  The Defocusing Nonlinear Schrödinger Equation: From Dark Solitons to Vortices and Vortex Rings.  SIAM.  doi:10.1137/1.9781611973945.
  * Kharkov et al. (2020) Kharkov, Y.A., Sotskov, V.E., Karazeev, A.A., Kiktenko, E.O., Fedorov, A.K., 2020.  Revealing quantum chaos with machine learning.  Phys. Rev. B 101, 064406\.  doi:10.1103/PhysRevB.101.064406.
  * Kibble (1976) Kibble, T.W.B., 1976.  Topology of cosmic domains and strings.  J. Phys. A: Math. and Gen. 9, 1387 – 1398.  doi:10.1088/0305-4470/9/8/029.
  * Kiehn et al. (2019) Kiehn, H., Mistakidis, S.I., Katsimiga, G.C., Schmelcher, P., 2019\.  Spontaneous generation of dark-bright and dark-antidark solitons upon quenching a particle-imbalanced bosonic mixture.  Phys. Rev. A 100, 023613\.  doi:10.1103/PhysRevA.100.023613.
  * Kim et al. (2021a) Kim, J.H., Hong, D., Lee, K., Shin, Y., 2021a.  Critical Energy Dissipation in a Binary Superfluid Gas by a Moving Magnetic Obstacle.  Phys. Rev. Lett. 127, 095302\.  doi:10.1103/PhysRevLett.127.095302.
  * Kim et al. (2021b) Kim, K., Hur, J., Huh, S., Choi, S., Choi, J.y., 2021b.  Emission of Spin-Correlated Matter-Wave Jets from Spinor Bose-Einstein Condensates.  Phys. Rev. Lett. 127, 043401\.  doi:10.1103/PhysRevLett.127.043401.
  * Kinoshita et al. (2004) Kinoshita, T., Wenger, T., Weiss, D.S., 2004.  Observation of a One-Dimensional Tonks-Girardeau Gas.  Science 305, 1125–1128.  doi:10.1126/science.1100700.
  * Kinoshita et al. (2005) Kinoshita, T., Wenger, T., Weiss, D.S., 2005.  Local Pair Correlations in One-Dimensional Bose Gases.  Phys. Rev. Lett. 95, 190406\.  doi:10.1103/PhysRevLett.95.190406.
  * Kinoshita et al. (2006) Kinoshita, T., Wenger, T., Weiss, D.S., 2006.  A quantum Newton’s cradle.  Nature 440, 900–903.  doi:10.1038/nature04693.
  * Kitanine et al. (1999) Kitanine, N., Maillet, J., Terras, V., 1999.  Form factors of the XXZ Heisenberg spin-12 finite chain.  Nuclear Physics B 554, 647 – 678.  doi:https://doi.org/10.1016/S0550-3213(99)00295-3.
  * Kitanine et al. (2000) Kitanine, N., Maillet, J., Terras, V., 2000.  Correlation functions of the XXZ Heisenberg spin-12 chain in a magnetic field.  Nuclear Physics B 567, 554 – 582.  doi:https://doi.org/10.1016/S0550-3213(99)00619-7.
  * Klaiman and Alon (2015) Klaiman, S., Alon, O.E., 2015\.  Variance as a sensitive probe of correlations.  Phys. Rev. A 91, 063613\.
  * Klausen et al. (2001) Klausen, N.N., Bohn, J.L., Greene, C.H., 2001.  Nature of spinor Bose-Einstein condensates in rubidium.  Phys. Rev. A 64, 053602\.  doi:10.1103/PhysRevA.64.053602.
  * Klauser and Caux (2011) Klauser, A., Caux, J.S., 2011\.  Equilibrium thermodynamic properties of interacting two-component bosons in one dimension.  Phys. Rev. A 84, 033604\.  doi:10.1103/PhysRevA.84.033604.
  * Klumper (1992) Klumper, A., 1992.  Free energy and correlation lengths of quantum chains related to restricted solid-on-solid lattice models.  Annalen der Physik 504, 540–553.  doi:https://doi.org/10.1002/andp.19925040707.
  * Klümper and Pâţu (2011) Klümper, A., Pâţu, O.I., 2011\.  Efficient thermodynamic description of multicomponent one-dimensional Bose gases.  Phys. Rev. A 84, 051604\.  doi:10.1103/PhysRevA.84.051604.
  * Koepsell et al. (2019) Koepsell, J., Vijayan, J., Sompet, P., Grusdt, F., Hilker, T.A., Demler, E., Salomon, G., Bloch, I., Gross, C., 2019.  Imaging magnetic polarons in the doped Fermi–Hubbard model.  Nature 572, 358–362.  doi:10.1038/s41586-019-1463-1.
  * Köhler et al. (2019) Köhler, F., Keiler, K., Mistakidis, S., Meyer, H.D., Schmelcher, P., 2019.  Dynamical pruning of the non-equilibrium quantum dynamics of trapped ultracold bosons.  The J. Chem. Phys. 151, 054108\.  doi:10.1063/1.5104344.
  * Köhler et al. (2006) Köhler, T., Góral, K., Julienne, P.S., 2006.  Production of cold molecules via magnetically tunable Feshbach resonances.  Rev. Mod. Phys. 78, 1311–1361.  doi:10.1103/RevModPhys.78.1311.
  * Kollath et al. (2007) Kollath, C., Läuchli, A.M., Altman, E., 2007.  Quench Dynamics and Nonequilibrium Phase Diagram of the Bose-Hubbard Model.  Phys. Rev. Lett. 98, 180601\.  doi:10.1103/PhysRevLett.98.180601.
  * Kollath et al. (2005) Kollath, C., Schollwöck, U., Zwerger, W., 2005.  Spin-Charge Separation in Cold Fermi Gases: A Real Time Analysis.  Phys. Rev. Lett. 95, 176401\.  doi:10.1103/PhysRevLett.95.176401.
  * König and Pixley (2018) König, E.J., Pixley, J.H., 2018\.  Quantum Field Theory of Nematic Transitions in Spin-Orbit-Coupled Spin-1 Polar Bosons.  Phys. Rev. Lett. 121, 083402\.  doi:10.1103/PhysRevLett.121.083402.
  * Korepin et al. (1993) Korepin, V.E., Bogoliubov, N.M., Izergin, A.G., 1993.  Quantum Inverse Scattering Method and Correlation Functions.  Cambridge Monographs on Mathematical Physics, Cambridge University Press.  doi:10.1017/CBO9780511628832.
  * Kormos et al. (2011) Kormos, M., Mussardo, G., Trombettoni, A., 2011.  Local correlations in the super-Tonks-Girardeau gas.  Phys. Rev. A 83, 013617\.  doi:10.1103/PhysRevA.83.013617.
  * Kościk (2017) Kościk, P., 2017.  Fermionized Dipolar Bosons Trapped in a Harmonic Trap.  Few-Body Syst 58, 59\.  doi:10.1007/s00601-017-1229-y.
  * Kościk (2018) Kościk, P., 2018.  Optimized configuration interaction approach for trapped multiparticle systems interacting via contact forces.  Physics Letters A 382, 2561–2564.  doi:10.1016/j.physleta.2018.06.025.
  * Kościk et al. (2018) Kościk, P., Plodzień, M., Sowiński, T., 2018.  Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement.  Europhysics Letters (EPL) 123, 36001\.  doi:10.1209/0295-5075/123/36001.
  * Kościk and Sowiński (2020) Kościk, P., Sowiński, T., 2020\.  Variational ansatz for p-wave fermions confined in a one-dimensional harmonic trap.  New J. Phys. 22, 093053\.  doi:10.1088/1367-2630/abb386.
  * Kotochigova (2014) Kotochigova, S., 2014.  Controlling interactions between highly magnetic atoms with Feshbach resonances.  Reports on Progress in Physics 77, 093901.  doi:10.1088/0034-4885/77/9/093901.
  * Koutentakis et al. (2019) Koutentakis, G., Mistakidis, S., Schmelcher, P., 2019.  Probing ferromagnetic order in few-fermion correlated spin-flip dynamics.  New J. Phys. 21, 053005\.  doi:10.1088/1367-2630/ab14ba.
  * Koutentakis et al. (2017) Koutentakis, G.M., Mistakidis, S.I., Schmelcher, P., 2017.  Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement.  Phys. Rev. A 95, 013617\.  doi:10.1103/PhysRevA.95.013617.
  * Koutentakis et al. (2022) Koutentakis, G.M., Mistakidis, S.I., Schmelcher, P., 2022.  Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe.  Atoms 10, 3.  doi:10.3390/atoms10010003.
  * Kouwenhoven et al. (2001) Kouwenhoven, L.P., Austing, D., Tarucha, S., 2001.  Few-electron quantum dots.  Reports on Progress in Physics 64, 701–736.  doi:10.1088/0034-4885/64/6/201.
  * Kremer et al. (2017) Kremer, M., Sachdeva, R., Benseny, A., Busch, T., 2017\.  Interaction-induced effects on Bose-Hubbard parameters.  Phys. Rev. A 96, 063611\.  doi:10.1103/PhysRevA.96.063611.
  * Kronjäger et al. (2005) Kronjäger, J., Becker, C., Brinkmann, M., Walser, R., Navez, P., Bongs, K., Sengstock, K., 2005.  Evolution of a spinor condensate: Coherent dynamics, dephasing, and revivals.  Phys. Rev. A 72, 063619\.  doi:10.1103/PhysRevA.72.063619.
  * Kronjäger et al. (2006) Kronjäger, J., Becker, C., Navez, P., Bongs, K., Sengstock, K., 2006.  Magnetically Tuned Spin Dynamics Resonance.  Phys. Rev. Lett. 97, 110404\.  doi:10.1103/PhysRevLett.97.110404.
  * Krönke et al. (2013) Krönke, S., Cao, L., Vendrell, O., Schmelcher, P., 2013\.  Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent hartree method for bosons.  New J. Phys. 15, 063018\.  doi:10.1088/1367-2630/15/6/063018.
  * Krönke et al. (2015) Krönke, S., Knörzer, J., Schmelcher, P., 2015.  Correlated quantum dynamics of a single atom collisionally coupled to an ultracold finite bosonic ensemble.  New J. Phys. 17, 053001\.  doi:10.1088/1367-2630/17/5/053001.
  * Krönke and Schmelcher (2015) Krönke, S., Schmelcher, P., 2015\.  Many-body processes in black and gray matter-wave solitons.  Phys. Rev. A 91, 053614\.  doi:10.1103/PhysRevA.91.053614.
  * Krych and Idziaszek (2009) Krych, M., Idziaszek, Z., 2009\.  Controlled collisions of two ultracold atoms in separate harmonic traps.  Phys. Rev. A 80, 022710\.  doi:10.1103/PhysRevA.80.022710.
  * Krych and Idziaszek (2015) Krych, M., Idziaszek, Z., 2015\.  Description of ion motion in a Paul trap immersed in a cold atomic gas.  Phys. Rev. A 91, 023430\.  doi:10.1103/PhysRevA.91.023430.
  * Kuang and Ouyang (2000) Kuang, L.M., Ouyang, Z.W., 2000\.  Macroscopic quantum self-trapping and atomic tunneling in two-species bose-einstein condensates.  Phys. Rev. A 61, 023604\.  doi:10.1103/PhysRevA.61.023604.
  * Kühner and Monien (1998) Kühner, T.D., Monien, H., 1998\.  Phases of the one-dimensional Bose-Hubbard model.  Phys. Rev. B 58, R14741–R14744.  doi:10.1103/PhysRevB.58.R14741.
  * Kuklov et al. (2004a) Kuklov, A., Prokof’ev, N., Svistunov, B., 2004a.  Commensurate Two-Component Bosons in an Optical Lattice: Ground State Phase Diagram.  Phys. Rev. Lett. 92, 050402\.  doi:10.1103/PhysRevLett.92.050402.
  * Kuklov et al. (2004b) Kuklov, A., Prokof’ev, N., Svistunov, B., 2004b.  Superfluid-Superfluid Phase Transitions in a Two-Component Bose-Einstein Condensate.  Phys. Rev. Lett. 92, 030403\.  doi:10.1103/PhysRevLett.92.030403.
  * Kurlov and Shlyapnikov (2017) Kurlov, D.V., Shlyapnikov, G.V., 2017\.  Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a $p$-wave feshbach resonance.  Phys. Rev. A 95, 032710\.  doi:10.1103/PhysRevA.95.032710.
  * Kwasniok et al. (2020) Kwasniok, J., Mistakidis, S.I., Schmelcher, P., 2020.  Correlated dynamics of fermionic impurities induced by the counterflow of an ensemble of fermions.  Phys. Rev. A 101, 053619\.  doi:10.1103/PhysRevA.101.053619.
  * Łącki et al. (2013) Łącki, M., Delande, D., Zakrzewski, J., 2013.  Dynamics of cold bosons in optical lattices: effects of higher Bloch bands.  New J. Phys. 15, 013062\.  doi:10.1088/1367-2630/15/1/013062.
  * Lahaye et al. (2009) Lahaye, T., Menotti, C., Santos, L., Lewenstein, M., Pfau, T., 2009.  The physics of dipolar bosonic quantum gases.  Reports on Progress in Physics 72, 126401.  doi:10.1088/0034-4885/72/12/126401.
  * Lai and Yang (1971) Lai, C.K., Yang, C.N., 1971\.  Ground-State Energy of a Mixture of Fermions and Bosons in One Dimension with a Repulsive $\delta$-Function Interaction.  Phys. Rev. A 3, 393–399.  doi:10.1103/PhysRevA.3.393.
  * Laird et al. (2017) Laird, E.K., Shi, Z.Y., Parish, M.M., Levinsen, J., 2017\.  SU($N$) fermions in a one-dimensional harmonic trap.  Phys. Rev. A 96, 032701\.  doi:10.1103/PhysRevA.96.032701.
  * Lamb jr (1980) Lamb jr, G.L., 1980.  Elements of Soliton Theory.  Wiley.
  * Lampo et al. (2017) Lampo, A., Lim, S.H., García-March, M.Á., Lewenstein, M., 2017.  Bose polaron as an instance of quantum Brownian motion.  Quantum 1, 30\.  doi:10.22331/q-2017-09-27-30.
  * Landau and Lifshitz (1977) Landau, L.D., Lifshitz, E.M., 1977\.  Quantum Mechanics.  Butterworth-Heinemann, Oxford.
  * Lannig et al. (2020) Lannig, S., Schmied, C.M., Prüfer, M., Kunkel, P., Strohmaier, R., Strobel, H., Gasenzer, T., Kevrekidis, P.G., Oberthaler, M.K., 2020.  Collisions of Three-Component Vector Solitons in Bose-Einstein Condensates.  Phys. Rev. Lett. 125, 170401\.  doi:10.1103/PhysRevLett.125.170401.
  * Larsson and Tannor (2017) Larsson, H.R., Tannor, D.J., 2017\.  Dynamical pruning of the multiconfiguration time-dependent Hartree (DP-MCTDH) method: An efficient approach for multidimensional quantum dynamics.  The J. Chem. Phys. 147, 044103\.  doi:10.1063/1.4993219.
  * Lavoine et al. (2021) Lavoine, L., Hammond, A., Recati, A., Petrov, D., Bourdel, T., 2021.  Beyond-mean-field effects in rabi-coupled two-component bose-einstein condensate.  Phys. Rev. Lett. 127, 203402\.
  * Law et al. (1998) Law, C.K., Pu, H., Bigelow, N.P., 1998.  Quantum Spins Mixing in Spinor Bose-Einstein Condensates.  Phys. Rev. Lett. 81, 5257–5261.  doi:10.1103/PhysRevLett.81.5257.
  * Leanhardt et al. (2003) Leanhardt, A.E., Shin, Y., Kielpinski, D., Pritchard, D.E., Ketterle, W., 2003.  Coreless Vortex Formation in a Spinor Bose-Einstein Condensate.  Phys. Rev. Lett. 90, 140403\.  doi:10.1103/PhysRevLett.90.140403.
  * Łebek et al. (2022) Łebek, M., Syrwid, A., Grochowski, P.T., Rzążewski, K., 2022\.  Repulsive dynamics of strongly attractive one-dimensional quantum gases.  Phys. Rev. A 105, L011303.  URL: https://link.aps.org/doi/10.1103/PhysRevA.105.L011303, doi:10.1103/PhysRevA.105.L011303.
  * LeBlanc and Thywissen (2007) LeBlanc, L.J., Thywissen, J.H., 2007\.  Species-specific optical lattices.  Phys. Rev. A 75, 053612\.  doi:10.1103/PhysRevA.75.053612.
  * Ledesma et al. (2019) Ledesma, D., Romero-Ros, A., Polls, A., Juliá-Díaz, B., 2019\.  Dynamic structure function of two interacting atoms in 1D.  EPL (Europhysics Letters) 127, 56001\.  doi:10.1209/0295-5075/127/56001.
  * Lee et al. (2016) Lee, K.L., Jørgensen, N.B., Liu, I.K., Wacker, L., Arlt, J.J., Proukakis, N.P., 2016\.  Phase separation and dynamics of two-component Bose-Einstein condensates.  Phys. Rev. A 94, 013602\.  doi:10.1103/PhysRevA.94.013602.
  * Lee and Yang (1957) Lee, T.D., Yang, C.N., 1957\.  Many-Body Problem in Quantum Mechanics and Quantum Statistical Mechanics.  Phys. Rev. 105, 1119–1120.  doi:10.1103/PhysRev.105.1119.
  * Leggett (1970) Leggett, A.J., 1970.  Can a solid be" superfluid"?  Phys. Rev. Lett. 25, 1543\.
  * Leggett (1972) Leggett, A.J., 1972.  Interpretation of Recent Results on ${\mathrm{He}}^{3}$ below 3 mK: A New Liquid Phase?  Phys. Rev. Lett. 29, 1227–1230.  doi:10.1103/PhysRevLett.29.1227.
  * Lenard (1964) Lenard, A., 1964.  Momentum Distribution in the Ground State of the One-Dimensional System of Impenetrable Bosons.  Journal of Mathematical Physics 5, 930–943.  doi:10.1063/1.1704196.
  * Léonard et al. (2017) Léonard, J., Morales, A., Zupancic, P., Donner, T., Esslinger, T., 2017.  Monitoring and manipulating higgs and goldstone modes in a supersolid quantum gas.  Science 358, 1415–1418.
  * Leslie et al. (2009a) Leslie, L.S., Hansen, A., Wright, K.C., Deutsch, B.M., Bigelow, N.P., 2009a.  Creation and Detection of Skyrmions in a Bose-Einstein Condensate.  Phys. Rev. Lett. 103, 250401\.  doi:10.1103/PhysRevLett.103.250401.
  * Leslie et al. (2009b) Leslie, S.R., Guzman, J., Vengalattore, M., Sau, J.D., Cohen, M.L., Stamper-Kurn, D.M., 2009b.  Amplification of fluctuations in a spinor Bose-Einstein condensate.  Phys. Rev. A 79, 043631\.  doi:10.1103/PhysRevA.79.043631.
  * Lester et al. (2018) Lester, B.J., Lin, Y., Brown, M.O., Kaufman, A.M., Ball, R.J., Knill, E., Rey, A.M., Regal, C.A., 2018\.  Measurement-Based Entanglement of Noninteracting Bosonic Atoms.  Phys. Rev. Lett. 120, 193602\.  doi:10.1103/PhysRevLett.120.193602.
  * Lévêque and Madsen (2017) Lévêque, C., Madsen, L.B., 2017\.  Time-dependent restricted-active-space self-consistent-field theory for bosonic many-body systems.  New J. Phys. 19, 043007\.  doi:10.1088/1367-2630/aa6319.
  * Levinsen et al. (2015) Levinsen, J., Massignan, P., Bruun, G.M., Parish, M.M., 2015\.  Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential.  Science Advances 1, e1500197.  doi:10.1126/sciadv.1500197.
  * Lewenstein et al. (2004) Lewenstein, M., Santos, L., Baranov, M.A., Fehrmann, H., 2004\.  Atomic Bose-Fermi Mixtures in an Optical Lattice.  Phys. Rev. Lett. 92, 050401\.  doi:10.1103/PhysRevLett.92.050401.
  * Li et al. (2017) Li, J.R., Lee, J., Huang, W., Burchesky, S., Shteynas, B., Top, F.Ç., Jamison, A.O., Ketterle, W., 2017.  A stripe phase with supersolid properties in spin–orbit-coupled bose–einstein condensates.  Nature 543, 91–94.
  * Li et al. (2018) Li, X., Pęcak, D., Sowiński, T., Sherson, J., Nielsen, A.E.B., 2018.  Global optimization for quantum dynamics of few-fermion systems.  Phys. Rev. A 97, 033602\.  doi:10.1103/PhysRevA.97.033602.
  * Li et al. (2003) Li, Y.Q., Gu, S.J., Ying, Z.J., Eckern, U., 2003.  Exact results of the ground state and excitation properties of a two-component interacting Bose system.  Europhysics Letters (EPL) 61, 368–374.  doi:10.1209/epl/i2003-00183-2.
  * Liao et al. (2010) Liao, Y.a., Rittner, A.S.C., Paprotta, T., Li, W., Partridge, G.B., Hulet, R.G., Baur, S.K., Mueller, E.J., 2010\.  Spin-imbalance in a one-dimensional Fermi gas.  Nature 467, 567–569.  doi:10.1038/nature09393.
  * Lieb and Mattis (1962) Lieb, E., Mattis, D., 1962.  Theory of Ferromagnetism and the Ordering of Electronic Energy Levels.  Phys. Rev. 125, 164–172.  doi:10.1103/PhysRev.125.164.
  * Lieb (1963) Lieb, E.H., 1963.  Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum.  Phys. Rev. 130, 1616–1624.  doi:10.1103/PhysRev.130.1616.
  * Lieb and Liniger (1963) Lieb, E.H., Liniger, W., 1963\.  Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State.  Phys. Rev. 130, 1605–1616.  doi:10.1103/PhysRev.130.1605.
  * Lifshitz and Pitaevskii (1980) Lifshitz, E., Pitaevskii, L., 1980\.  Statistical Physics: Theory of the Condensed State (Pt 2).  Pergamon Press.
  * Lima and Pelster (2012) Lima, A.R.P., Pelster, A., 2012\.  Beyond mean-field low-lying excitations of dipolar bose gases.  Phys. Rev. A 86, 063609\.
  * Lin and Chern (2014) Lin, L., Chern, I.L., 2014.  A kinetic energy reduction technique and characterizations of the ground states of spin-1 Bose-Einstein condensates.  Discrete Contin. Dyn. Syst. Ser. B 4, 1119–1128.  doi:10.3934/dcdsb.2014.19.1119.
  * Lindgren et al. (2020) Lindgren, E.J., Barfknecht, R.E., Zinner, N.T., 2020.  A systematic interpolatory method for an impurity in a one-dimensional fermionic background.  SciPost Phys. 9, 5\.  doi:10.21468/SciPostPhys.9.1.005.
  * Lindgren et al. (2014) Lindgren, E.J., Rotureau, J., Forssén, C., Volosniev, A.G., Zinner, N.T., 2014.  Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap.  New J. Phys. 16, 063003\.  doi:10.1088/1367-2630/16/6/063003.
  * Links et al. (2006) Links, J., Foerster, A., Tonel, A., Santos, G., 2006\.  The Two-Site Bose-Hubbard Model.  Annales Henri Poincaré 7, 1591–1600.  doi:https://doi.org/10.1007/s00023-006-0295-3.
  * Links et al. (2003) Links, J., Zhou, H.Q., McKenzie, R.H., Gould, M.D., 2003\.  Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose Einstein condensates and metallic nanograins.  Journal of Physics A: Mathematical and General 36, R63.  doi:10.1088/0305-4470/36/19/201.
  * Liu and Hu (2003) Liu, X.J., Hu, H., 2003.  Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures.  Phys. Rev. A 67, 023613\.  doi:10.1103/PhysRevA.67.023613.
  * Lode et al. (2012) Lode, A.U., Streltsov, A.I., Sakmann, K., Alon, O.E., Cederbaum, L.S., 2012.  How an interacting many-body system tunnels through a potential barrier to open space.  Proc. Nat. Ac. Sc. 109, 13521–13525.  doi:10.1073/pnas.1201345109.
  * Lode and Bruder (2017) Lode, A.U.J., Bruder, C., 2017\.  Fragmented Superradiance of a Bose-Einstein Condensate in an Optical Cavity.  Phys. Rev. Lett. 118, 013603\.  doi:10.1103/PhysRevLett.118.013603.
  * Lode et al. (2014) Lode, A.U.J., Klaiman, S., Alon, O.E., Streltsov, A.I., Cederbaum, L.S., 2014.  Controlling the velocities and the number of emitted particles in the tunneling to open space dynamics.  Phys. Rev. A 89, 053620\.  doi:10.1103/PhysRevA.89.053620.
  * Lode et al. (2020) Lode, A.U.J., Lévêque, C., Madsen, L.B., Streltsov, A.I., Alon, O.E., 2020.  Colloquium: Multiconfigurational time-dependent Hartree approaches for indistinguishable particles.  Rev. Mod. Phys. 92, 011001\.  doi:10.1103/RevModPhys.92.011001.
  * Loft et al. (2016a) Loft, N., Kristensen, L., Thomsen, A., Volosniev, A., Zinner, N., 2016a.  Conan—the cruncher of local exchange coefficients for strongly interacting confined systems in one dimension.  Computer Physics Communications 209, 171 – 182.  doi:https://doi.org/10.1016/j.cpc.2016.08.021.
  * Loft et al. (2015) Loft, N.J.S., Dehkharghani, A.S., Mehta, N.P., Volosniev, A.G., Zinner, N.T., 2015.  A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap.  The European Physical Journal D 69, 65.  doi:10.1140/epjd/e2015-50845-9.
  * Loft et al. (2016b) Loft, N.J.S., Marchukov, O.V., Petrosyan, D., Zinner, N.T., 2016b.  Tunable self-assembled spin chains of strongly interacting cold atoms for demonstration of reliable quantum state transfer.  New J. Phys. 18, 045011\.  doi:10.1088/1367-2630/18/4/045011.
  * Lohse et al. (2016) Lohse, M., Schweizer, C., Zilberberg, O., Aidelsburger, M., Bloch, I., 2016.  A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice.  Nature Physics 12, 350–354.  doi:10.1038/nphys3584.
  * Lopes et al. (2015) Lopes, R., Imanaliev, A., Aspect, A., Cheneau, M., Boiron, D., Westbrook, C.I., 2015\.  Atomic Hong–Ou–Mandel experiment.  Nature 520, 66–68.  doi:10.1038/nature14331.
  * Lous et al. (2018) Lous, R.S., Fritsche, I., Jag, M., Lehmann, F., Kirilov, E., Huang, B., Grimm, R., 2018.  Probing the Interface of a Phase-Separated State in a Repulsive Bose-Fermi Mixture.  Phys. Rev. Lett. 120, 243403\.  doi:10.1103/PhysRevLett.120.243403.
  * Lu et al. (2015) Lu, G., Fu, L.B., Hai, W., Zou, M., Guo, Y., 2015\.  Directed selective-tunneling of bosons with periodically modulated interaction.  Physics Letters A 379, 947–951.  doi:https://doi.org/10.1016/j.physleta.2015.01.034.
  * Lu et al. (2014) Lu, G., Fu, L.B., Liu, J., Hai, W., 2014.  Directed selective tunneling of dipolar bosons in a driven triple well.  Phys. Rev. A 89, 033428\.  doi:10.1103/PhysRevA.89.033428.
  * Lu et al. (2011) Lu, M., Burdick, N.Q., Youn, S.H., Lev, B.L., 2011\.  Strongly Dipolar Bose-Einstein Condensate of Dysprosium.  Phys. Rev. Lett. 107, 190401\.  doi:10.1103/PhysRevLett.107.190401.
  * Luciuk et al. (2016) Luciuk, C., Trotzky, S., Smale, S., Yu, Z., Zhang, S., Thywissen, J.H., 2016\.  Evidence for universal relations describing a gas with p-wave interactions.  Nature Physics 12, 599–605.  doi:10.1038/nphys3670.
  * Lukin et al. (2019) Lukin, A., Rispoli, M., Schittko, R., Tai, M.E., Kaufman, A.M., Choi, S., Khemani, V., Léonard, J., Greiner, M., 2019.  Probing entanglement in a many-body–localized system.  Science 364, 256–260.  doi:10.1126/science.aau0818.
  * Luna and Papenbrock (2019) Luna, B.K., Papenbrock, T., 2019\.  Low-energy bound states, resonances, and scattering of light ions.  Phys. Rev. C 100, 054307\.  doi:10.1103/PhysRevC.100.054307.
  * Luo et al. (2015) Luo, X., Wang, Y., Yu, X., Guo, Y., Chong, G., Wu, D., Hu, Q., 2015.  Directed tunneling of a prescribed number of dipolar bosons in shaken triple-well potentials.  J. Phys. B: At. Mol. and Opt. Phys. 48, 175504.  doi:10.1088/0953-4075/48/17/175504.
  * Luo et al. (2021) Luo, Z.H., Pang, W., Liu, B., Li, Y.Y., Malomed, B.A., 2021\.  A new form of liquid matter: Quantum droplets.  Frontiers of Physics 16, 1–21.  doi:10.1007/s11467-020-1020-2.
  * Mancini et al. (2015) Mancini, M., Pagano, G., Cappellini, G., Livi, L., Rider, M., Catani, J., Sias, C., Zoller, P., Inguscio, M., Dalmonte, M., Fallani, L., 2015.  Observation of chiral edge states with neutral fermions in synthetic Hall ribbons.  Science 349, 1510–1513.  doi:10.1126/science.aaa8736.
  * Manthe (2008) Manthe, U., 2008.  A multilayer multiconfigurational time-dependent Hartree approach for quantum dynamics on general potential energy surfaces.  The J. Chem. Phys. 128, 164116\.  doi:10.1063/1.2902982.
  * Marchukov et al. (2016) Marchukov, O.V., Eriksen, E.H., Midtgaard, J.M., Kalaee, A.A.S., Fedorov, D.V., Jensen, A.S., Zinner, N.T., 2016.  Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results.  European Physical Journal D 70, 32\.  doi:10.1140/epjd/e2016-60489-x.
  * Marchukov et al. (2016) Marchukov, O.V., Volosniev, A.G., Valiente, M., Petrosyan, D., Zinner, N.T., 2016.  Quantum spin transistor with a Heisenberg spin chain.  Nature Commun. 7, 13070\.  doi:10.1038/ncomms13070.
  * Martínez-Garaot et al. (2015) Martínez-Garaot, S., Ruschhaupt, A., Gillet, J., Busch, T., Muga, J.G., 2015.  Fast quasiadiabatic dynamics.  Phys. Rev. A 92, 043406\.  doi:10.1103/PhysRevA.92.043406.
  * Massignan et al. (2015) Massignan, P., Levinsen, J., Parish, M.M., 2015.  Magnetism in Strongly Interacting One-Dimensional Quantum Mixtures.  Phys. Rev. Lett. 115, 247202\.  doi:10.1103/PhysRevLett.115.247202.
  * Massignan et al. (2005) Massignan, P., Pethick, C.J., Smith, H., 2005.  Static properties of positive ions in atomic Bose-Einstein condensates.  Phys. Rev. A 71, 023606\.  doi:10.1103/PhysRevA.71.023606.
  * Mathey et al. (2004) Mathey, L., Wang, D.W., Hofstetter, W., Lukin, M.D., Demler, E., 2004.  Luttinger Liquid of Polarons in One-Dimensional Boson-Fermion Mixtures.  Phys. Rev. Lett. 93, 120404\.  doi:10.1103/PhysRevLett.93.120404.
  * Matthies et al. (2007) Matthies, C., Zöllner, S., Meyer, H.D., Schmelcher, P., 2007\.  Quantum dynamics of two bosons in an anharmonic trap: Collective versus internal excitations.  Phys. Rev. A 76, 023602\.  doi:10.1103/PhysRevA.76.023602.
  * Matuszewski (2010) Matuszewski, M., 2010.  Ground states of trapped spin-1 condensates in magnetic field.  Phys. Rev. A 82, 053630\.  doi:10.1103/PhysRevA.82.053630.
  * Matuszewski et al. (2010) Matuszewski, M., Alexander, T.J., Kivshar, Y.S., 2010.  Magnetic domains in spinor bose-einstein condensates.  Low Temp. Phys. 36, 700–706.  doi:10.1063/1.3499231.
  * Matveev (2004) Matveev, K.A., 2004.  Conductance of a quantum wire at low electron density.  Phys. Rev. B 70, 245319\.  doi:10.1103/PhysRevB.70.245319.
  * Mazurenko et al. (2017) Mazurenko, A., Chiu, C.S., Ji, G., Parsons, M.F., Kanász-Nagy, M., Schmidt, R., Grusdt, F., Demler, E., Greif, D., Greiner, M., 2017\.  A cold-atom Fermi–Hubbard antiferromagnet.  Nature 545, 462–466.  doi:10.1038/nature22362.
  * Mazzarella and Dell’Anna (2013) Mazzarella, G., Dell’Anna, L., 2013\.  Two-mode dipolar bosonic junctions.  The European Phys. J. Special Topics 217, 197–205.  doi:10.1140/epjst/e2013-01769-3.
  * Mazzarella et al. (2011) Mazzarella, G., Malomed, B., Salasnich, L., Salerno, M., Toigo, F., 2011.  Rabi–Josephson oscillations and self-trapped dynamics in atomic junctions with two bosonic species.  J. Phys. B: At. Mol. and Opt. Phys. 44, 035301.  doi:10.1088/0953-4075/44/3/035301.
  * Mazzarella et al. (2009) Mazzarella, G., Moratti, M., Salasnich, L., Salerno, M., Toigo, F., 2009.  Atomic Josephson junction with two bosonic species.  J. Phys. B: At. Mol. and Opt. Phys. 42, 125301.  doi:10.1088/0953-4075/42/12/125301.
  * McCulloch (2007) McCulloch, I.P., 2007.  From density-matrix renormalization group to matrix product states.  Journal of Statistical Mechanics: Theory and Experiment 2007, P10014–P10014.  doi:10.1088/1742-5468/2007/10/p10014.
  * McGuire (1964) McGuire, J.B., 1964.  Study of Exactly Soluble One-Dimensional N-Body Problems.  Journal of Mathematical Physics 5, 622–636.  doi:10.1063/1.1704156.
  * McGuire (1965) McGuire, J.B., 1965.  Interacting Fermions in One Dimension. I. Repulsive Potential.  Journal of Mathematical Physics 6, 432–439.  doi:10.1063/1.1704291.
  * McGuire (1966) McGuire, J.B., 1966.  Interacting Fermions in One Dimension. II. Attractive Potential.  Journal of Mathematical Physics 7, 123–132.  doi:10.1063/1.1704798.
  * McLachlan (1964) McLachlan, A., 1964.  A variational solution of the time-dependent Schrodinger equation.  Mol. Phys. 8, 39–44.  doi:10.1080/00268976400100041.
  * Meinert et al. (2017) Meinert, F., Knap, M., Kirilov, E., Jag-Lauber, K., Zvonarev, M.B., Demler, E., Nägerl, H.C., 2017.  Bloch oscillations in the absence of a lattice.  Science 356, 945–948.  doi:10.1126/science.aah6616.
  * Meinert et al. (2015) Meinert, F., Panfil, M., Mark, M.J., Lauber, K., Caux, J.S., Nägerl, H.C., 2015\.  Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling.  Phys. Rev. Lett. 115, 085301\.  doi:10.1103/PhysRevLett.115.085301.
  * Mekhov (2013) Mekhov, I.B., 2013.  Quantum non-demolition detection of polar molecule complexes: dimers, trimers, tetramers.  Laser Phys. 23, 015501\.  doi:10.1088/1054-660X/23/1/015501.
  * Menchon-Enrich et al. (2016) Menchon-Enrich, R., Benseny, A., Ahufinger, V., Greentree, A.D., Busch, T., Mompart, J., 2016\.  Spatial adiabatic passage: a review of recent progress.  Reports on Progress in Physics 79, 074401.  doi:10.1088/0034-4885/79/7/074401.
  * Mentink and Kokkelmans (2009) Mentink, J., Kokkelmans, S., 2009\.  Two interacting atoms in an optical lattice site with anharmonic terms.  Phys. Rev. A 79, 032709\.  doi:10.1103/PhysRevA.79.032709.
  * Mermin and Wagner (1966) Mermin, N.D., Wagner, H., 1966\.  Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models.  Phys. Rev. Lett. 17, 1133–1136.  doi:10.1103/PhysRevLett.17.1133.
  * Mestyán et al. (2019) Mestyán, M., Bertini, B., Piroli, L., Calabrese, P., 2019\.  Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases.  Phys. Rev. B 99, 014305\.  doi:10.1103/PhysRevB.99.014305.
  * Meyer et al. (1990) Meyer, H.D., Manthe, U., Cederbaum, L.S., 1990.  The multi-configurational time-dependent Hartree approach.  Chem. Phys. Lett. 165, 73–78.  doi:10.1016/0009-2614(90)87014-I.
  * Mezincescu and Nepomechie (1992) Mezincescu, L., Nepomechie, R.I., 1992\.  Analytical Bethe Ansatz for quantum-algebra-invariant spin chains.  Nuclear Physics B 372, 597 – 621.  doi:https://doi.org/10.1016/0550-3213(92)90367-K.
  * Michelsen et al. (2019) Michelsen, A.B., Valiente, M., Zinner, N.T., Negretti, A., 2019\.  Ion-induced interactions in a Tomonaga-Luttinger liquid.  Phys. Rev. B 100, 205427\.  doi:10.1103/PhysRevB.100.205427.
  * Miesner et al. (1999) Miesner, H.J., Stamper-Kurn, D.M., Stenger, J., Inouye, S., Chikkatur, A.P., Ketterle, W., 1999\.  Observation of Metastable States in Spinor Bose-Einstein Condensates.  Phys. Rev. Lett. 82, 2228–2231.  doi:10.1103/PhysRevLett.82.2228.
  * Mikkelsen et al. (2018) Mikkelsen, M., Fogarty, T., Busch, T., 2018.  Static and dynamic phases of a Tonks–Girardeau gas in an optical lattice.  New J. Phys. 20, 113011\.  doi:10.1088/1367-2630/aae98e.
  * Mikkelsen et al. (2022) Mikkelsen, M., Fogarty, T., Busch, T., 2022.  Connecting Scrambling and Work Statistics for Short-Range Interactions in the Harmonic Oscillator.  Phys. Rev. Lett. 128, 070605\.  doi:10.1103/PhysRevLett.128.070605.
  * Minardi et al. (2019) Minardi, F., Ancilotto, F., Burchianti, A., D’Errico, C., Fort, C., Modugno, M., 2019\.  Effective expression of the Lee-Huang-Yang energy functional for heteronuclear mixtures.  Phys. Rev. A 100, 063636\.  doi:10.1103/PhysRevA.100.063636.
  * Minguzzi and Gangardt (2005) Minguzzi, A., Gangardt, D.M., 2005\.  Exact Coherent States of a Harmonically Confined Tonks-Girardeau Gas.  Phys. Rev. Lett. 94, 240404\.  doi:10.1103/PhysRevLett.94.240404.
  * Minguzzi and Vignolo (2022) Minguzzi, A., Vignolo, P., 2022\.  Strongly interacting trapped one-dimensional quantum gases: an exact solution.  arXiv:2201.02362.
  * Miroshnychenko et al. (2006) Miroshnychenko, Y., Alt, W., Dotsenko, I., Förster, L., Khudaverdyan, M., Meschede, D., Schrader, D., Rauschenbeutel, A., 2006\.  An atom-sorting machine.  Nature 442, 151\.  doi:10.1038/442151a.
  * Mishmash and Carr (2009) Mishmash, R.V., Carr, L.D., 2009\.  Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices.  Phys. Rev. Lett. 103, 140403\.  doi:10.1103/PhysRevLett.103.140403.
  * Mishra et al. (2007) Mishra, T., Pai, R.V., Das, B.P., 2007.  Phase separation in a two-species Bose mixture.  Phys. Rev. A 76, 013604\.  doi:10.1103/PhysRevA.76.013604.
  * Mistakidis et al. (2014) Mistakidis, S., Cao, L., Schmelcher, P., 2014.  Interaction quench induced multimode dynamics of finite atomic ensembles.  J. Phys. B: At., Mol. and Opt. Phys. 47, 225303.  doi:10.1088/0953-4075/47/22/225303.
  * Mistakidis et al. (2015a) Mistakidis, S., Wulf, T., Negretti, A., Schmelcher, P., 2015a.  Resonant quantum dynamics of few ultracold bosons in periodically driven finite lattices.  J. Phys. B: At., Mol. and Opt. Phys. 48, 244004.  doi:10.1088/0953-4075/48/24/244004.
  * Mistakidis et al. (2015b) Mistakidis, S.I., Cao, L., Schmelcher, P., 2015b.  Negative-quench-induced excitation dynamics for ultracold bosons in one-dimensional lattices.  Phys. Rev. A 91, 033611\.  doi:10.1103/PhysRevA.91.033611.
  * Mistakidis et al. (2019a) Mistakidis, S.I., Grusdt, F., Koutentakis, G.M., Schmelcher, P., 2019a.  Dissipative correlated dynamics of a moving impurity immersed in a Bose–Einstein condensate.  New J. Phys. 21, 103026\.  doi:10.1088/1367-2630/ab4738.
  * Mistakidis et al. (2019b) Mistakidis, S.I., Hilbig, L., Schmelcher, P., 2019b.  Correlated quantum dynamics of two quenched fermionic impurities immersed in a Bose-Einstein condensate.  Phys. Rev. A 100, 023620\.  doi:10.1103/PhysRevA.100.023620.
  * Mistakidis et al. (2018) Mistakidis, S.I., Katsimiga, G.C., Kevrekidis, P.G., Schmelcher, P., 2018\.  Correlation effects in the quench-induced phase separation dynamics of a two species ultracold quantum gas.  New J. Phys. 20, 043052\.  doi:10.1088/1367-2630/aabc6a.
  * Mistakidis et al. (2019c) Mistakidis, S.I., Katsimiga, G.C., Koutentakis, G.M., Busch, T., Schmelcher, P., 2019c.  Quench Dynamics and Orthogonality Catastrophe of Bose Polarons.  Phys. Rev. Lett. 122, 183001\.  doi:10.1103/PhysRevLett.122.183001.
  * Mistakidis et al. (2020a) Mistakidis, S.I., Katsimiga, G.C., Koutentakis, G.M., Busch, T., Schmelcher, P., 2020a.  Pump-probe spectroscopy of Bose polarons: Dynamical formation and coherence.  Phys. Rev. Research 2, 033380\.  doi:10.1103/PhysRevResearch.2.033380.
  * Mistakidis et al. (2019d) Mistakidis, S.I., Katsimiga, G.C., Koutentakis, G.M., Schmelcher, P., 2019d.  Repulsive Fermi polarons and their induced interactions in binary mixtures of ultracold atoms.  New J. Phys. 21, 043032\.  doi:10.1088/1367-2630/ab1045.
  * Mistakidis et al. (2020b) Mistakidis, S.I., Koutentakis, G.M., Katsimiga, G.C., Busch, T., Schmelcher, P., 2020b.  Many-body quantum dynamics and induced correlations of Bose polarons.  New J. Phys. 22, 043007\.  doi:10.1088/1367-2630/ab7599.
  * Mistakidis et al. (2021) Mistakidis, S.I., Mithun, T., Kevrekidis, P.G., Sadeghpour, H.R., Schmelcher, P., 2021.  Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension.  Phys. Rev. Research 3, 043128\.  doi:10.1103/PhysRevResearch.3.043128.