Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited

Details Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited

2003-10-30

arxiv.org/abs/cond-mat/0310733v1

Phys. Rev. A 69, 043601 (2004)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 15 figures

Scientific paper

10.1103/PhysRevA.69.043601

A Bose-Hubbard model, describing bosons in a harmonic trap with a superimposed optical lattice, is studied using a fast and accurate variational technique (MF+NRG): the Gutzwiller mean-field (MF) ansatz is combined with a Numerical Renormalization Group (NRG) procedure in order to improve on both. Results are presented for one, two and three dimensions, with particular attention to the experimentally accessible momentum distribution and possible satellite peaks in this distribution. In one dimension, a comparison is made with exact results obtained using Stochastich Series Expansion.

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