Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
Mathematical Physics
2019-10-02 v2 math.MP
Abstract
We consider systems of bosons trapped in a box, in the Gross-Pitaevskii regime. We show that low-energy states exhibit complete Bose-Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in \cite{BBCS1}, removing the assumption of small interaction potential.
Keywords
Cite
@article{arxiv.1812.03086,
title = {Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime},
author = {Chiara Boccato and Christian Brennecke and Serena Cenatiempo and Benjamin Schlein},
journal= {arXiv preprint arXiv:1812.03086},
year = {2019}
}
Comments
99 pages, typos corrected