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Mott insulators in an optical lattice with high filling factors

D. van Oosten·P. van der Straten·H. T. C. Stoof
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Abstract

We discuss the superfluid to Mott insulator transition of an atomic Bose gas in an optical lattice with high filling factors. We show that also in this multi-band situation, the long-wavelength physics is described by a single-band Bose-Hubbard model. We determine the many-body renormalization of the tunneling and interaction parameters in the effective Bose-Hubbard Hamiltonian, and consider the resulting model at nonzero temperatures. We show that in particular for a one or two-dimensional optical lattice, the Mott insulator phase is more difficult to realize than anticipated previously.

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D. van Oosten, P. van der Straten, H. T. C. Stoof. 2002-10-25. Mott insulators in an optical lattice with high filling factors. https://doi.org/10.1103/physreva.67.033606

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