BCS-BEC Crossover in the Strongly Correlated Regime of ultra-cold Fermi gases

TL;DR

This paper investigates how strong correlations induced by rotation affect the BCS-BEC crossover in two-component Fermi gases, revealing a smooth transition from fermionic fractional quantum Hall states to bosonic Laughlin states.

Contribution

It predicts the modification of the BCS-BEC crossover due to rotation-induced correlations and links fermionic and bosonic quantum Hall states through the correlation function.

Findings

Rotation modifies the crossover region in strongly correlated Fermi gases.

The crossover connects fermionic fractional quantum Hall states to bosonic Laughlin states.

The correlation function demonstrates a smooth transition between these states.

Abstract

We study BCS-BEC crossover in the strongly correlated regime of two component rotating Fermi gases. We predict that the strong correlations induced by rotation will have the effect of modifying the crossover region relative to the non-rotating situation. We show via the two particle correlation function that the crossover smoothly connects the s-wave paired fermionic fractional quantum Hall state to the bosonic Laughlin state.