Static Properties of Trapped Bose-Fermi Mixed Condensate of Alkali Atoms

TL;DR

This paper investigates the static properties of a trapped Bose-Fermi mixture of potassium atoms using coupled equations, providing analytical and numerical insights into phase separation and density profiles for different interaction types.

Contribution

It introduces analytical parameter estimates for density profile changes and phase separation in Bose-Fermi mixtures, supported by numerical results for potassium atoms.

Findings

Parameter ratio $R_{int}$ discriminates large boson-profile changes.

Small fermion fractions can be trapped without external potential.

Consistency between analytical estimates and numerical results.

Abstract

Static properties of a bose-fermi mixture of trapped potassium atoms are studied in terms of coupled Gross-Pitaevskii and Thomas-Fermi equations for both repulsive and attractive bose-fermi interatomic potentials. Qualitative estimates are given for solutions of the coupled equations, and the parameter regions are obtained analytically for the boson-density profile change and for the boson/fermion phase separation. Especially, the parameter ratio $R_{int}$ is found that discriminates the region of the large boson-profile change. These estimates are applied for numerical results for the potassium atoms and checked their consistency. It is suggested that a small fraction of fermions could be trapped without an external potential for the system with an attractive boson-fermion interaction.