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

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.053625· OSTI ID:21528705

Shu, Chen; Junpeng, Cao ^[1]; Shijian, Gu ^[2]

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1. Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
2. Department of Physics and Institute of Theoretical Physics, Chinese University of Hong Kong (Hong Kong)

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, 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 nonvanishing superfluid density. We also briefly discuss the case with unequal boson and fermion masses.

• OSTI ID: 21528705
• Journal Information: Physical Review. A, Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevA.82.053625; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN GAS
BOSONS
DENSITY
FERMI GAS
FERMIONS
HUBBARD MODEL
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
SUPERFLUIDITY
CRYSTAL MODELS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES