Thermal fluctuations and the superfluid to Mott insulator transition

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Abstract
We discuss the effects of thermal fluctuations on the superfluid to Mott insulator transition of an atomic Bose gas in an optical lattice. This is achieved by calculating the many-body renormalization of the tunneling and interaction parameters in the Bose-Hubbard model describing the long-wavelength physics of the gas. We consider the resulting Bose-Hubbard model at nonzero temperatures and show that for the experimentally relevant high filling factors of a one or two-dimensional optical lattice, the superfluid to insulator transition is more difficult to realize than anticipated on basis of earlier models.

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