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

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.

To appear in Journal of Physics B 2007

References in corpus (8)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Pure Gas of Optically Trapped Molecules Created from Fermionic Atoms
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Path integral formulation of the tunneling dynamics of a superfluid Fermi gas in an optical potential
• Collective oscillations of a Fermi gas near a Feshbach resonance
• A simple mean field equation for condensates in the BEC-BCS crossover regime