BCS-BEC crossover at finite temperature for superfluid trapped Fermi atoms

TL;DR

This paper investigates the BCS-BEC crossover in trapped Fermi atoms at finite temperatures, analyzing superfluid and pair-breaking temperatures, and providing density profiles across different interaction strengths and temperatures.

Contribution

It introduces a method to include fluctuations beyond mean field to study the crossover at finite temperature in trapped Fermi gases.

Findings

Superfluid critical temperature varies with interaction strength.

Pair-breaking temperature is determined across the crossover.

Density profiles are computed for all temperatures and couplings.

Abstract

We consider the BCS-BEC crossover for a system of trapped Fermi atoms at finite temperature, both below and above the superfluid critical temperature, by including fluctuations beyond mean field. We determine the superfluid critical temperature and the pair-breaking temperature as functions of the attractive interaction between Fermi atoms, from the weak- to the strong-coupling limit (where bosonic molecules form as bound-fermion pairs). Density profiles in the trap are also obtained for all temperatures and couplings.