Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
arXiv:cond-mat/0412204 · doi:10.1103/PhysRevA.71.033629
Abstract
We present a strong-coupling expansion of the Bose-Hubbard model which describes both the superfluid and the Mott phases of ultracold bosonic atoms in an optical lattice. By performing two successive Hubbard-Stratonovich transformations of the intersite hopping term, we derive an effective action which provides a suitable starting point to study the strong-coupling limit of the Bose-Hubbard model. This action can be analyzed by taking into account Gaussian fluctuations about the mean-field approximation as in the Bogoliubov theory of the weakly interacting Bose gas. In the Mott phase, we reproduce results of previous mean-field theories and also calculate the momentum distribution function. In the superfluid phase, we find a gapless spectrum and compare our results with the Bogoliubov theory.
8 pages, 6 figures; (v2) Two references added
References in corpus (9)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Quantum phases in an optical lattice
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- Phase diagram of the bose Hubbard model
- Strong-Coupling Perturbation Theory of the Hubbard Model
- Ultracold atoms in optical lattices
- Strong-Coupling Expansion for the Hubbard Model
- Crossover temperature of Bose-Einstein condensation in an atomic Fermi gas
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