Exact correlations in the LiebLiniger model and detailed balance outofequilibrium
Abstract
We study the densitydensity correlation function of the 1D LiebLiniger 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 nonthermal 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.
 Publication:

SciPost Physics
 Pub Date:
 December 2016
 DOI:
 10.21468/SciPostPhys.1.2.015
 arXiv:
 arXiv:1611.00194
 Bibcode:
 2016ScPP....1...15D
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Statistical Mechanics
 EPrint:
 32 pages, 4 figures