Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach

Details Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach

2004-12-08

arxiv.org/abs/cond-mat/0412204v2

Phys. Rev. A 71, 033629 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 6 figures; (v2) Two references added

Scientific paper

10.1103/PhysRevA.71.033629

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.

Affiliated with

Also associated with

No associations

Rating

Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-169619