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Aspects of superfluid cold atomic gases in optical lattices

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Abstract

We review our studies on Bose and Fermi superfluids of cold atomic gases in optical lattices at zero temperature. Especially, we focus on superfluid Fermi gases along the crossover between the Bardeen-Cooper-Schrieffer (BCS) and the Bose-Einstein condensate (BEC) states, which enable us to study the Bose and the Fermi superfluids in a unified point of view. We discuss basic static and long-wavelength properties (such as the equation of state, incompressibility, and effective mass), energetic stability, and energy band structures of the superfluid Fermi gases in an optical lattice periodic along one spatial direction. The periodic potential causes pairs of atoms to be strongly bound, and this can affect the static and long-wavelength properties and the stability of the superflow. Regarding the band structure, a peculiar loop structure called “swallowtail” can appear in superfluid Fermi gases and in the Bose case, but the mechanism of emergence in the Fermi case is very different from that in bosonic case. Other quantum phases that the cold atomic gases in optical lattices can show are also briefly discussed based on their roles as quantum simulators of Hubbard models.

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  1. Asia Pacific Center for Theoretical Physics, Pohang, 790-784, Korea

    Gentaro Watanabe & Sukjin Yoon

  2. Department of Physics, Pohang University of Science and Technology, Pohang, 790-784, Korea

    Gentaro Watanabe

  3. Nishina Center, RIKEN, Saitama, 351-0198, Japan

    Gentaro Watanabe

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Watanabe, G., Yoon, S. Aspects of superfluid cold atomic gases in optical lattices. Journal of the Korean Physical Society 63, 839–857 (2013). https://doi.org/10.3938/jkps.63.839

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