Comprehensive classification for Bose–Fermi mixtures

• DOI: 10.1088/1367-2630/aa7814
• Publication Date: 2017-08-08T15:16:25Z
• Authors: Christian Ufrecht; Matthias Meister; Albert Roura; Wolfgang P Schleich
• Keywords: Maxima and minima

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