Bogoliubov spectrum of a cigar shaped Fermi superfluid in an optical lattice at the BEC-BCS crossover

TL;DR

This paper analyzes the Bogoliubov excitation spectrum of an elongated Fermi superfluid in a 1D optical lattice across the BEC-BCS crossover, providing analytic formulas for key properties and highlighting experimental signatures.

Contribution

It derives analytic expressions for the sound velocity, effective mass, and excitation spectrum of a Fermi superfluid in a lattice during the BEC-BCS crossover, revealing observable signatures.

Findings

Analytic formulas for sound velocity and effective mass across the crossover

Identification of signatures in the excitation spectrum indicative of the crossover

Potential experimental observables for superfluid properties

Abstract

We study the Bogoliubov spectrum of an elongated Fermi superfluid confined in an one-dimensional superfluid along the Bose-Einstein-condensate (BEC)-Bardeen-Cooper-Schrieffer (BCS) crossover. We derive analytic expressions for the sound velocity, effective mass and the Bogoliubov excitation spectrum of the axial quasiparticles long the crossover based on the hydrodynamic theory. Our investigation reveal interesting signatures of BEC-BCS crossover in an optical lattice which deserve experimental investigation.