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C-*-algebraic approach to the Bose-Hubbard model
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Adams, S. (Stefan) and Dorlas, Tony (2007) C-*-algebraic approach to the Bose-Hubbard model. Journal of Mathematical Physics, Vol.48 (No.10). doi:10.1063/1.2799349
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Official URL: http://dx.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 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.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Mathematical Physics | ||||
| Publisher: | American Institute of Physics | ||||
| ISSN: | 0022-2488 | ||||
| Official Date: | 29 October 2007 | ||||
| Dates: |
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| Volume: | Vol.48 | ||||
| Number: | No.10 | ||||
| Number of Pages: | 13 | ||||
| DOI: | 10.1063/1.2799349 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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