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