C^*-algebraic approach to the Bose-Hubbard model
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proved in \cite{BD}. The proof is analogous to that of a theorem on noncommutative large deviations introduced by Petz, Raggio and Verbeure \cite{PRV} and could similarly be extended to more general Bose system of mean-field type. We apply this formalism to prove Bose-Einstein condensation for the case of small coupling.
Cite
@article{arxiv.0708.0518,
title = {C^*-algebraic approach to the Bose-Hubbard model},
author = {Stefan Adams and Tony Dorlas},
journal= {arXiv preprint arXiv:0708.0518},
year = {2009}
}