C*-algebraic approach to the Bose-Hubbard model

Adams, Stefan and Dorlas, T. C. (2007) C*-algebraic approach to the Bose-Hubbard model. Journal of Mathematical Physics, 48 (10). p. 103304. ISSN 0022-2488

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Official URL: http://doi.org/10.1063/1.2799349

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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:23
Last Modified: 26 Jul 2018 09:47
URI: http://dair.dias.ie/id/eprint/207

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