Interface properties and phase transitions in atomic Boson – Fermion mixtures

We study the density profiles of atomic boson – fermion mixtures confined in one dimensional box potentials by modelling the system with many-body density-density interactions. A variety of configurations were found in the different parameter regime. Atomic mixtures can remain mixed, and phase separate in 3-chunk or 2-chunk structure depending on the boson-boson and the boson-fermion interaction strengths. Phase diagram for all the structures as a function of the interactions is mapped out. For the 2-chunk structure, interface properties which describes the interaction between the separated bosons and fermions were analyzed. The width of the interface reveals information about interaction and other parameters. At the hard walls, the density profiles of bosons or fermions show the healing length of the corresponding system. And at the boson - fermion interface, the width depends on both kinetic and interaction energy which can be tuned by the atomic mass, boson-fermion interaction and their densities.