Ultracold atoms in optical lattices

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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29 pages, 10 figures

Scientific paper

10.1103/PhysRevA.68.043623

Bosonic atoms trapped in an optical lattice at very low temperatures, can be modeled by the Bose-Hubbard model. In this paper, we propose a slave-boson approach for dealing with the Bose-Hubbard model, which enables us to analytically describe the physics of this model at nonzero temperatures. With our approach the phase diagram for this model at nonzero temperatures can be quantified.

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