Lieb-Liniger model with exponentially decaying interactions: A continuous matrix product state study

Article

关键词: RENORMALIZATION-GROUP;    ULTRACOLD GASES;    ONE-DIMENSION;    GROUND-STATE;    BOSE-GAS;    SYSTEMS;    BOSONS;   

DOI  :  10.1103/PhysRevB.92.115107

来源: SCIE

【 摘 要 】

The Lieb-Liniger model describes one-dimensional bosons interacting through a repulsive contact potential. In this work, we introduce an extended version of this model by replacing the contact potential with a decaying exponential. Using the recently developed continuous matrix product states techniques, we explore the ground-state phase diagram of this model by examining the superfluid and density correlation functions. At weak coupling superfluidity governs the ground state, in a similar way as in the Lieb-Liniger model. However, at strong coupling quasicrystal and super-Tonks-Girardeau regimes are also found, which are not present in the original Lieb-Liniger case. Therefore the presence of the exponentially decaying potential leads to a superfluid/super-Tonks-Girardeau/quasicrystal crossover, when tuning the coupling strength from weak to strong interactions. This corresponds to a Luttinger liquid parameter in the range K is an element of (0,infinity), in contrast with the Lieb-Liniger model, where K is an element of [1,infinity), and the screened long-range potential, where K is an element of (0,1].

【 授权许可】

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