Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices
Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices
We study the Bose-Fermi mixture with infinite boson-boson repulsion and finite boson-fermion repulsion. Using a generalized Jordan-Wigner transformation, we show that the system can be mapped to a repulsive Hubbard model and thus can be solved exactly for the case with equal boson and fermion masses. Using the Bethe-ansatz solutions, …