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The Effects Of The Beyond Mean Field Corrections Of Fermi Superfluid Gas In A Double-Well Potential

Author

Listed:
  • WEN-YUAN WANG

    (Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China)

  • WEN-SHAN DUAN

    (Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China)

  • JIE LIU

    (Science and Technology Computation Physics Laboratory, Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;
    Center for Applied Physics and Technology, Peking University, Beijing 100088, P. R. China)

Abstract

By considering the contribution of the higher-order term representing the lowest approximation of beyond mean field corrections, we investigate a superfluid Fermi gas confined in a double-well potential in Bose–Einstein Condensation (BEC) side of the Bardeen–Cooper–Schrieffer (BCS) to BEC crossover. Two limited cases of deep BEC regime and BEC regime of BCS–BEC crossover, corresponding to the two-body scattering lengthascis small enough and large enough, respectively. We derive a simple two-mode model that could depict the dynamics effectively. With making thorough analysis on the two-mode model and its corresponding classical Hamiltonian, we find that the Josephson oscillation or self-trapping phenomenon could emerge at certain parameters. We find three kinds of the phase states: Josephson oscillation (JO), oscillating-phase-type self-trapping (OPTST) and running-phase-type self-trapping (RPTST). The dependence of these three phase states on the dimensionless interaction parametery = 1/(kFasc)and the initial system energy are given in this paper.

Suggested Citation

  • Wen-Yuan Wang & Wen-Shan Duan & Jie Liu, 2012. "The Effects Of The Beyond Mean Field Corrections Of Fermi Superfluid Gas In A Double-Well Potential," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(11), pages 1-17.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:11:n:s0129183112500763
    DOI: 10.1142/S0129183112500763
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