BCS-BEC crossover in a strongly correlated Fermi gas

TL;DR

This paper investigates the BCS-BEC crossover in a strongly correlated, rotating two-component Fermi gas, revealing how strong correlations and rotation modify the crossover and connect fermionic quantum Hall states with bosonic Laughlin states.

Contribution

It demonstrates the impact of strong correlations and rotation on the BCS-BEC crossover, introducing an additional long-range interaction and linking quantum Hall states with Laughlin states.

Findings

Strong correlations induce a long-range interaction.

Rotation modifies the crossover region.

Smooth transition between fermionic and bosonic quantum Hall states.

Abstract

We study the BCS-BEC crossover in the strongly correlated regime of an ultra-cold rotating two component Fermi gas. Strong correlations are shown to generate an additional long-range interaction which results in a modified crossover region compared to the non-rotating situation. The two-particle correlation function reveals a smooth crossover between the s-wave paired fermionic fractional quantum Hall state and the bosonic Laughlin state.