Sympathetic cooling of trapped fermions by bosons in the presence of particle losses

TL;DR

This paper analyzes the process of sympathetically cooling trapped fermions using bosons below Bose-Einstein condensation, accounting for particle losses that limit cooling efficiency and determine the final temperature.

Contribution

It derives a quantum master equation for the fermionic dynamics and provides analytical expressions for cooling rates and the impact of particle losses on the final temperature.

Findings

Particle losses induce heating in the fermionic gas.

Analytical formulas for the final temperature considering losses.

Cooling rate depends on the interplay between bosonic interactions and particle losses.

Abstract

We study the sympathetic cooling of a trapped Fermi gas interacting with an ideal Bose gas below the critical temperature of the Bose-Einstein condensation. We derive the quantum master equation, which describes the dynamics of the fermionic component, and postulating the thermal distribution for both gases we calculate analytically the rate at which fermions are cooled by the bosonic atoms. The particle losses constitute an important source of heating of the degenerate Fermi gas. We evaluate the rate of loss-induced heating and derive analytical results for the final temperature of fermions, which is limited in the presence of particle losses.