Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium

2016/11/30 by Jacopo De Nardis, Milosz Panfil, Miłosz Panfil · 44 citations
Physics and Astronomy · #Balance (ability) #Cold Atom Physics and Bose-Einstein Condensates #Detailed balance #Exact solutions in general relativity #Expression (computer science) #Function (biology) #Limit (mathematics) #Momentum (technical analysis) #Operator (biology) #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.quant-gas #cond-mat.stat-mech

paper · pdf · doi:10.21468/scipostphys.1.2.015

published in SciPost Physics 1(2) (SciPost.org) · 32 pages, 4 figures

openalex created_date 2016/11/11 · arxiv created 2016/12/19 · openalex publication_date 2016/12/30 · arxiv updated 2018/01/25 · openalex updated_date 2026/08/06

Abstract

We study the density-density correlation function of the 1D Lieb–Liniger model and obtain an exact expression for the small momentum limit of the static correlator in the thermodynamic limit. We achieve this by summing exactly over the relevant form factors of the density operator in the small momentum limit. The result is valid for any eigenstate, including thermal and non-thermal states. We also show that the small momentum limit of the dynamic structure factors obeys a generalized detailed balance relation valid for any equilibrium state.

Citations

• Interaction quenches in the one-dimensional Bose gas
• Finite-temperature dynamical structure factor of the one-dimensional Bose gas: From the Gross-Pitaevskii equation to the Kardar-Parisi-Zhang universality class of dynamical critical phenomena
• Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
• Precision measurements of temperature and chemical potential of quantum gases
• Correlations after Quantum Quenches in theXXZSpin Chain: Failure of the Generalized Gibbs Ensemble
• Generalized Gibbs ensemble in integrable lattice models

Cited by

• Quantum quench in a harmonically trapped one-dimensional Bose gas