Discrete Thermodynamic Bethe Ansatz
Statistical Mechanics
2009-11-07 v1
Abstract
We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic description of harmonically trapped Bose-Einstein condensates in one dimension. We find that the discrete TBA reproduces correctly the N-body groundstate energy of the Lieb-Liniger model in a harmonic well at first order in perturbation theory, but corrections do appear at second order.
Keywords
Cite
@article{arxiv.cond-mat/0104107,
title = {Discrete Thermodynamic Bethe Ansatz},
author = {Michel Bergere and Ken-Ichiro Imura and Stephane Ouvry},
journal= {arXiv preprint arXiv:cond-mat/0104107},
year = {2009}
}