two-body level suggesting the formation of few-body anti-ferromagnetic like order [@murmann2015antiferromagnetic; @koutentakis2018probing].

Turning to particle balanced FF mixtures we find that the single-particle density of the ground state exhibits a miscible behavior at weak and strong interactions in both the HF and MB approaches. Moreover, an intrawell fragmentation occurs only within the MB approach. Quenching the interspecies interaction from weak-to-strong coupling we observe that in the HF approximation the FF mixture remains miscible throughout the evolution, while performing an overall breathing motion. Within the MB approach the two species besides undergoing a breathing mode while remaining miscible, further exhibit an intrawell fragmentation (filamentation) of their single-particle density. Also in this case Mott-like one-body correlations appear between the distinct filaments formed. Moreover, two fermions of the same or different species exhibit an anti-correlated behavior in a single filament, whilst they are strongly correlated when residing in distinct filaments indicating the tendency towards an anti-ferromagnetic state. Finally, we simulate single-shot absorption measurements and showcase that by averaging a sample of in-situ images we can adequately reproduce the MB fermionic quench dynamics on the single-particle density level.

This work is structured as follows. Section \[sec:theory\] presents our setup and the basic observables of 