as dark-bright solitary waves [@Becker2008; @Engels2011] and quantum droplets [@dropletsCabrera2018; @dropletsInguscio2018].

One of the key properties, which makes the multi-component systems attractive and their physics very rich, is the miscibility, which has significant implications for sympathetic cooling [@Aspect2001; @Weidemuller2002], coarse graining dynamics [@coarseGraining2004; @coarseGraining2008; @coarseGraining2010; @coarseGraining2014] and vortex formation [@vortex2003; @vortex2011] to name a few. In the very early theoretical investigations a very rich phase space for the ground state of the Bose-Bose mixture has been identified. These investigations [@TFAShenoy1996; @cGPEBigelow1998; @phasesChui2003; @phasesOhberg1999; @phasesTrippenbach2000] are based on the one-body densities obtained from solving the underlying mean-field equations, commonly known as Gross-Pitaevskii equations. In case of a weak inter-component coupling one finds a miscible phase with a high spatial overlap between the components. For a sufficiently large repulsive coupling there are three types of segragated phases with a rather small overlap. Two of them are core-shell phases with one component being symmetrically surrounded by the other component, whereas the third is an asymmetrical phase, where the rotational or parity symmetry of the underlying trapping potential is broken. Neglecting the kinetic energy (Thomas-Fermi approximation) a simple separation criterion for the miscible-immiscible transition has been derived [@separationRuleTimmermans1998; @separationRuleChui1998; @separationRuleEsry1997]. It depends solely on 