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.

5 pages, 3 figures

References in corpus (13)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• All-Optical Formation of Quantum Degenerate Mixtures
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
• Mott insulators and correlated superfluids in ultracold Bose-Fermi mixtures