Temperature-dependent density profiles of trapped boson-fermion mixtures

TL;DR

This paper develops a semiclassical three-fluid model to analyze how temperature affects the density profiles of trapped boson-fermion mixtures, providing insights into their equilibrium behavior at finite temperatures.

Contribution

It introduces a novel three-fluid semiclassical model to study temperature-dependent density profiles in boson-fermion mixtures confined in harmonic traps.

Findings

Density profiles vary with temperature and composition.

Model applies to $^{39}$K and $^{40}$K mixtures.

Provides predictions for experimental conditions.

Abstract

We present a semiclassical three-fluid model for a Bose-condensed mixture of interacting Bose and Fermi gases confined in harmonic traps at finite temperature. The model is used to characterize the experimentally relevant behaviour of the equilibrium density profile of the fermions with varying composition and temperature across the onset of degeneracy, for coupling strengths relevant to a mixture of $^{39}$K and $^{40}$K atoms.