Two-component interacting Tonks-Girardeau gas in a one-dimensional optical latticeShu Chen1, 2, Junpeng Cao2 and Shi-Jian Gu1
1 Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong, China
2 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
received 3 February 2009; accepted in final form 4 March 2009; published March 2009
published online 8 April 2009
The two-component interacting Bose gas confined in a one-dimensional optical lattice with infinite intra-component repulsive interactions and tunable inter-component repulsions is studied. By a generalized Jordan-Wigner transformation, it is shown that this model can be solved exactly. The energy spectrum and explicit wave function are obtained. The physical quantities such as the off-diagonal density matrix, momentum distribution and single-particle von Neumann entropy of the present model display different properties from those of the Fermi-Hubbard model due to the different intrinsic symmetry of particles.
05.30.Jp - Boson systems.
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
© EPLA 2009