Component separation in harmonically trapped boson-fermion mixtures

Abstract

We present a numerical study of mixed boson-fermion systems at zero temperature in isotropic and anisotropic harmonic traps. We investigate the phenomenon of component separation as a function of the strength of the interparticle interaction. While solving a Gross-Pitaevskii mean-field equation for the boson distribution in the trap, we utilize two different methods to extract the density profile of the fermion component; a semiclassical Thomas-Fermi approximation and a quantum-mechanical Slater determinant Schr\"odinger equation.