Critical temperature of Bose-Einstein condensation in trapped atomic Bose-Fermi mixtures

TL;DR

This paper calculates how interactions in trapped Bose-Fermi mixtures affect the critical temperature of Bose-Einstein condensation, providing insights relevant for current experimental setups.

Contribution

It presents a lowest-order calculation of the critical temperature shift due to both Bose-Bose and Bose-Fermi interactions in trapped mixtures.

Findings

Interaction effects can significantly alter the critical temperature.

The relative impact of boson-boson and boson-fermion interactions depends on mixture parameters.

Results are relevant for interpreting current experimental observations.

Abstract

We calculate the shift in the critical temperature of Bose-Einstein condensation for a dilute Bose-Fermi mixture confined by a harmonic potential to lowest order in both the Bose-Bose and Bose-Fermi coupling constants. The relative importance of the effect on the critical temperature of the boson-boson and boson-fermion interactions is investigated as a function of the parameters of the mixture. The possible relevance of the shift of the transition temperature in current experiments on trapped Bose-Fermi mixtures is discussed.