Interaction Effects on Wannier Functions of a Bose-Einstein Condensate in an Optical Lattice and Implications for Bose-Hubbard Model

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dc.creatorLiang, Z. X.
dc.creatorHu, B. B.
dc.creatorWu, Biao
dc.date2009-03-24
dc.date2009-03-29
dc.date.accessioned2026-07-07T12:57:27Z
dc.date.available2026-07-07T12:57:27Z
dc.descriptionWe show that one can properly take into account of the interaction effects and construct a set of orthonormal Wannier functions for a Bose-Einstein condensate in an optical lattice. These interaction-dependent Wannier functions are used to compute the tunneling rate $J$ and the on-site repulsion $U$ in the Bose-Hubbard model. Both parameters are found to be substantially different from ones calculated with the single-particle Wannier functions. Our numerical results of $U$ are found in good agreement with the measured on-site energy in a recent experiment [Campbell {\it et al.} Science {\bf 314}, 281 (2006)].
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0903.4058
dc.identifierhttp://arxiv.org/abs/0903.4058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224932
dc.subjectStrongly Correlated Electrons
dc.titleInteraction Effects on Wannier Functions of a Bose-Einstein Condensate in an Optical Lattice and Implications for Bose-Hubbard Model
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