The ground state properties of two-component ultra-cold Fermi gas in hard wall confinement

ORAL

Abstract

We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas subjected to a hard wall trap. The explicit form of the wave function is obtained by solving the Bethe Ansatz equations numerically. Then we obtain the one-body density matrix of the system for different interaction strengths. Results of the momentum distribution of the atoms, which are obtained from the Fourier transform of the one-body density matrix, are reported for different interaction strengths. This interacting system may be experimentally accessible using ultra-cold atoms.

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Authors

  • Bo-Bo Wei

    Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China

  • Junpeng Cao

    Institute of Physics and Laboratory of Condensed Matter Physics, The Chinese Academy of Sciences, China, Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China

  • Shi-Jian Gu

    Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China, Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong, China, Department of Physics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong, Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong, China

  • Lin Haiqing

    Department of Physics and Institue of Theoretical Physics, The Chinese University of Hong, Hong Kong, China, Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China, Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong, China, Chinese University of Hong Kong, Department of Physics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong