Finite temperature effects on the collapse of trapped Bose-Fermi mixtures

TL;DR

This paper investigates how finite temperature influences the stability of trapped Bose-Fermi mixtures, showing that higher temperatures increase the critical particle number and scattering length, thus stabilizing the mixture.

Contribution

It provides a detailed mean-field analysis of finite temperature effects on the stability of Bose-Fermi mixtures using Hartree-Fock-Bogoliubov-Popov theory.

Findings

Critical particle number increases with temperature.

Critical scattering length increases with temperature.

Finite temperature stabilizes the Bose-Fermi mixture.

Abstract

By using the self-consistent Hartree-Fock-Bogoliubov-Popov theory, we present a detailed study of the mean-field stability of spherically trapped Bose-Fermi mixtures at finite temperature. We find that, by increasing the temperature, the critical particle number of bosons (or fermions) and the critical attractive Bose-Fermi scattering length increase, leading to a significant stabilization of the mixture.