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Ultracold atoms in optical lattices

D. B. M. DickerscheidInstitute for Theoretical Physics, University of Utrecht, Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsD. van OostenDebye Institute, University of Utrecht, Princetonplein 5, 3584 CC Utrecht, The NetherlandsP. J. H. DenteneerLorentz Institute, Leiden University, P.O. Box 9506, 2300 RA Leiden, The NetherlandsH. T. C. StoofInstitute for Theoretical Physics, University of Utrecht, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
2003en
ABI

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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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