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
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DOI：
10.1103/physreva.82.053625
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发表时间：
2010-11
影响因子：
2.9
通讯作者：
Shu Chen;Junpeng Cao;S. Gu
中科院分区：
文献类型：
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作者：
Shu Chen;Junpeng Cao;S. Gu
我们研究了具有无限玻色子-玻色子排斥和有限玻色子-费米排斥的玻色子-费米混合。利用广义Jordan-Wigner变换，我们证明了该系统可以映射到一个排斥性Hubbard模型，从而可以精确地解出玻色子和费米子质量相等的情况。利用Bethe-ansatz解，我们研究了混合系统的基态性质。结果表明，当填充量n = 1相等时，系统是电荷绝缘体，但仍然是密度不消失的超流体。我们还简要讨论了玻色子和费米子质量不等的情况。
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.