New Journal of Physics (Jan 2016)

Multiple period states of the superfluid Fermi gas in an optical lattice

  • Sukjin Yoon,
  • Franco Dalfovo,
  • Takashi Nakatsukasa,
  • Gentaro Watanabe

DOI
https://doi.org/10.1088/1367-2630/18/2/023011
Journal volume & issue
Vol. 18, no. 2
p. 023011

Abstract

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We study multiple period states of a two-component unpolarized superfluid Fermi gas in an optical lattice along the Bardeen–Cooper–Schrieffer (BCS) to Bose–Einstein condensate (BEC) crossover. The existence of states whose period is a multiple of the lattice spacing is a direct consequence of the nonlinear behavior of the gas, which is due to the presence of the order parameter associated with superfluidity. By solving Bogoliubov–de Gennes equations for a superfluid flow with finite quasimomentum, we find that, in the BCS side of the crossover, the multiple period states can be energetically favorable compared to the normal Bloch states and their survival time against dynamical instability drastically increases, suggesting that these states can be accessible in current experiments, in sharp contrast to the situation in BECs.

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