Condensation transition and ensemble inequivalence in the Discrete Nonlinear Schr\"odinger Equation
Statistical Mechanics
2021-06-08 v1
Abstract
The thermodynamics of the discrete nonlinear Schr\"odinger equation in the vicinity of infinite temperature is explicitly solved in the microcanonical ensemble by means of large-deviation techniques. A first-order phase transition between a thermalized phase and a condensed (localized) one occurs at the infinite-temperature line. Inequivalence between statistical ensembles characterizes the condensed phase, where the grand-canonical representation does not apply. The control over finite size corrections of the microcanonical partition function allows to design an experimental test of delocalized negative-temperature states in lattices of cold atoms.
Keywords
Cite
@article{arxiv.2106.03698,
title = {Condensation transition and ensemble inequivalence in the Discrete Nonlinear Schr\"odinger Equation},
author = {Giacomo Gradenigo and Stefano Iubini and Roberto Livi and Satya N. Majumdar},
journal= {arXiv preprint arXiv:2106.03698},
year = {2021}
}
Comments
6 pages, 3 figures