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C
Stefan Adams and Tony Dorlas
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 [1]. The proof is analogous to that of a theorem on noncommutative large deviations introduced by Petz, Raggio and Verbeure [2] 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.
- Received:
- 03.08.07
- Published:
- 03.08.07
- MSC Codes:
- 82B10, 81R15, 82B26
- PACS:
- 05.30.-d, 05-30.ch, 05.30.Jp
- Keywords:
- Bose-Hubbard model, long range hopping, pressure functional, relative entropy, relative Hamiltonian, large deviations