Bose Gases at Positive Temperature and Non-Linear Gibbs Measures
Mathematical Physics
2016-02-17 v1 Quantum Gases
Analysis of PDEs
math.MP
Abstract
We summarize recent results on positive temperature equilibrium states of large bosonic systems. The emphasis will be on the connection between bosonic grand-canonical thermal states and the (semi-) classical Gibbs measures on one-body quantum states built using the corresponding mean-field energy functionals. An illustrative comparison with the case of "distinguishable" particles (boltzons) is provided.
Keywords
Cite
@article{arxiv.1602.05166,
title = {Bose Gases at Positive Temperature and Non-Linear Gibbs Measures},
author = {Mathieu Lewin and Phan Thành Nam and Nicolas Rougerie},
journal= {arXiv preprint arXiv:1602.05166},
year = {2016}
}
Comments
Proceedings of the 18th ICMP, Santiago de Chile, July 2015