Vortex state in a superfluid Fermi gas near a Feshbach resonance

TL;DR

This paper investigates the structure and properties of a vortex in a superfluid Fermi gas near a Feshbach resonance, focusing on the BCS-BEC crossover and the influence of molecular condensates.

Contribution

It introduces a self-consistent mean field approach to analyze vortex structures in a fermion-boson coupled model across the BCS-BEC crossover.

Findings

Density distributions shift from BCS-like to BEC-like with increasing molecules.

Vortex core size varies across the crossover.

Molecular condensates significantly affect vortex properties.

Abstract

We consider a single vortex in a superfluid Fermi gas in the BCS-BEC crossover regime near a Feshbach resonance. The effect of the molecular Bose-Einstein condensate upon the vortex structure is discussed within the mean field approximation at zero temperature. Using the self-consistent Bogoliubov-de Gennes equation of the fermion-boson coupled model, we calculate density distributions of atoms and molecules. As the number of the molecules increases, both atomic and molecular density changes from BCS-like distribution to BEC-like. We also study the change of the vortex core size in the crossover regime.