Finite temperature theory of superfluid bosons in optical lattices
Abstract
A practical finite temperature theory is developed for the superfluid regime of a weakly interacting Bose gas in an optical lattice with additional harmonic confinement. We derive an extended Bose-Hubbard model that is valid for shallow lattices and when excited bands are occupied. Using the Hartree-Fock-Bogoliubov-Popov mean-field approach, and applying local density and coarse-grained envelope approximations, we arrive at a theory that can be numerically implemented accurately and efficiently. We present results for a three-dimensional system, characterizing the importance of the features of the extended Bose-Hubbard model and compare against other theoretical results and show an improved agreement with experimental data.
Keywords
Cite
@article{arxiv.0906.4606,
title = {Finite temperature theory of superfluid bosons in optical lattices},
author = {D. Baillie and P. B. Blakie},
journal= {arXiv preprint arXiv:0906.4606},
year = {2009}
}
Comments
22 pages, 18 figures, reorganized appendices, moved figures, corrected typos