Mott insulators in an optical lattice with high filling factors

Details Mott insulators in an optical lattice with high filling factors Mott insulators in an optical lattice with high filling factors

2002-05-03

arxiv.org/abs/cond-mat/0205066v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, title changed, major restructuring, resubmitted to PRL

Scientific paper

10.1103/PhysRevA.67.033606

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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