Finite temperature theory of superfluid bosons in optical lattices

Details Finite temperature theory of superfluid bosons in optical lattices Finite temperature theory of superfluid bosons in optical lattices

2009-06-25

arxiv.org/abs/0906.4606v2

Phys. Rev. A (80), 033620 (2009)

Physics

Condensed Matter

Quantum Gases

22 pages, 18 figures, reorganized appendices, moved figures, corrected typos

Scientific paper

10.1103/PhysRevA.80.033620

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.

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