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arXiv · 1702.06050

Comprehensive classification for Bose-Fermi mixtures

Christian Ufrecht·Matthias Meister·Albert Roura·Wolfgang P. Schleich
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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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Christian Ufrecht, Matthias Meister, Albert Roura, Wolfgang P. Schleich. 2017-02-20. Comprehensive classification for Bose-Fermi mixtures. https://doi.org/10.1088/1367-2630%2Faa7814

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