2012/11/30 by M. -S. Wang, Ming‐Ming Wang, J. -H. Huang +9 · 14 citations
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Criticality #Fermion #Luttinger liquid #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum statistical mechanics #Quantum, superfluid, helium dynamics #Thermodynamic equations #Virial coefficient #Virial expansion #Virial theorem #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.87.043634
published in Physical Review A 87(4) (American Physical Society) · 8 pages, 6 figures, additional text and references
arxiv created 2013/03/18 · openalex publication_date 2013/04/29 · arxiv updated 2013/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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)\ensuremath≈2p/(n\ensuremathε) 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 \ensuremathε=\frac\ensuremathℏ22mc2 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.