Universal local pair correlations of Lieb-Liniger bosons at quantum criticality

M. S. Wang*, J. H. Huang, C. H. Lee, X. G. Yin, X. W. Guan, M. T. Batchelor

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)

    Abstract

    The one-dimensional Lieb-Liniger Bose gas is a prototypical many-body system featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion quantum criticality. We analytically calculate finite temperature local pair correlations for the strong-coupling Bose gas at quantum criticality using the polylog function in the framework of the Yang-Yang thermodynamic equations. We show that the local pair correlation has the universal value g (2)(0)≈2p/(nÉ□) in the quantum critical regime, the TLL phase, and the quasiclassical region, where p is the pressure per unit length rescaled by the interaction energy É□= with interaction strength c and linear density n. This suggests the possibility to test finite temperature local pair correlations for the TLL in the relativistic dispersion regime and to probe quantum criticality with the local correlations beyond the TLL phase. Furthermore, thermodynamic properties at high temperatures are obtained by both high temperature and virial expansion of the Yang-Yang thermodynamic equation.

    Original languageEnglish
    Article number043634
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume87
    Issue number4
    DOIs
    Publication statusPublished - 29 Apr 2013

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