Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices

Details 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

2010-11-23

arxiv.org/abs/1011.5019v1

Phys. Rev. A 82, 053625 (2010)

Physics

Condensed Matter

Quantum Gases

5 pages, 3 figures

Scientific paper

10.1103/PhysRevA.82.053625

We study the Bose-Fermi mixture with infinitely boson-boson repulsion and finite boson-Fermion repulsion. By 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. By using the Bethe-ansatz solutions, we investigate the ground state properties of the mixture system. Our results indicate that the system with commensurate filling $n=1$ is a charge insulator but still a superfluid with non-vanishing superfluid density. We also briefly discuss the case with unequal masses for bosons and fermions.

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