Two-component interacting Tonks-Girardeau gas in a one-dimensional optical lattice

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. Copyright (C) EPLA, 2009