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arXiv · 0708.0518

C^*-algebraic approach to the Bose-Hubbard model

Stefan Adams·Tony Dorlas
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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.

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Stefan Adams, Tony Dorlas. 2007-08-03. C^*-algebraic approach to the Bose-Hubbard model. https://doi.org/10.1063/1.2799349

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