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

Abstract

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.

arXiv comment5 pages, 3 figures

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Cited by in corpus (5)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• One-dimensional mixtures of several ultracold atoms: a review
• Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
• Strongly interacting Bose-Fermi mixtures in one dimension
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture