Comprehensive classification for Bose-Fermi mixtures

Abstract

We present analytical studies of a boson-fermion mixture at zero temperature with spin-polarized fermions. Using the Thomas-Fermi approximation for bosons and the local-density approximation for fermions, we find a large variety of different density shapes. In the case of continuous density, we obtain analytic conditions for each configuration for attractive as well as repulsive boson-fermion interaction. Furthermore, we analytically show that all the scenarios we describe are minima of the grand-canonical energy functional. Finally, we provide a full classification of all possible ground states in the interpenetrative regime. Our results also apply to binary mixtures of bosons.

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• Bose-Einstein condensates in microgravity and fundamental tests of gravity
• Drag in Bose-Fermi Mixtures
• Convective Boson-Fermion pairing model constructed by oscillating one-dimensional optical superlattice