Full counting statistics and large deviations in thermal 1D Bose gas
Quantum Gases
2019-04-03 v1 Statistical Mechanics
Abstract
We obtain the distribution of number of atoms in an interval (full counting statistics) of Lieb-Liniger model of interacting bosons in one dimension. Our results are valid in the weakly interacting regime in a parametrically large window of temperatures and interval lengths. The obtained distribution deviates strongly from a Gaussian away from the quasi-condensate regime, and, for sufficiently short intervals, the probability of large number fluctuations is strongly enhanced.
Cite
@article{arxiv.1807.09381,
title = {Full counting statistics and large deviations in thermal 1D Bose gas},
author = {Maksims Arzamasovs and Dimitri M. Gangardt},
journal= {arXiv preprint arXiv:1807.09381},
year = {2019}
}
Comments
5 pages, 3 figures main text + 3 pages, 3 figures Supplementary Material,