C*-algebraic approach to the Bose-Hubbard model
Journal Article
·
· Journal of Mathematical Physics
- Mathematics Institute, University of Warwick, Coventry CV4 7AL (United Kingdom) and Max-Planck Institute for Mathematics in the Sciences, Inselstrasse 22-26, D-04103 Leipzig (Germany)
We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proven by Bru and Dorlas [J. Stat. Phys. 113, 177 (2003)]. The proof is analogous to that of a theorem on noncommutative large deviations introduced by Petz et al. [Commun. Math. Phys. 121, 271 (1989)] and could similarly be extended to more general Bose systems of mean-field type. We apply this formalism to prove Bose-Einstein condensation for the case of small coupling.
- OSTI ID:
- 21013734
- Journal Information:
- Journal of Mathematical Physics, Vol. 48, Issue 10; Other Information: DOI: 10.1063/1.2799349; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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