Density fingerprint of giant vortices in Fermi gases near a Feshbach resonance

TL;DR

This paper investigates the structure of giant vortices in atomic Fermi gases near a Feshbach resonance using Bogoliubov-de Gennes theory, revealing unique density oscillations that aid in visualizing such vortices.

Contribution

It provides the first detailed analysis of density profiles and bound state branches in multiply quantized vortices in Fermi gases near Feshbach resonances.

Findings

Density oscillations inside vortex cores depend on interaction strength.

Multiple bound state branches cause non-monotonic density profiles.

Distinct contrast with singly quantized vortices where density depletes monotonically.

Abstract

The structure of multiply quantized or giant vortex states in atomic Fermi gases across a Feshbach resonance is studied within the context of self-consistent Bogoliubov-de Gennes theory. The particle density profile of vortices with $\kappa>1$ flux quanta is calculated. Owing to $\kappa$ discrete branches of vortex core bound states, inside the core the density oscillates as a function of the distance from the vortex line and displays a non-monotoic dependence on the interaction strengths, in marked contrast to the singly quantized case, in which the density depletes monotonically. This feature, never reported so far, can make a direct visualization of the giant vortices in atomic Fermi gases.