Wannier states and Bose-Hubbard parameters for 2D optical lattices
arXiv:cond-mat/0403306 · doi:10.1088/0953-4075/37/7/002
Abstract
We consider the physical implementation of a 2D optical lattice with schemes involving 3 and 4 light fields. We illustrate the wide range of geometries available to the 3 beam lattice, and compare the general potential properties of the two lattice schemes. Numerically calculating the band structure we obtain the Wannier states and evaluate the parameters of the Bose-Hubbard models relevant to these lattices. Using these results we demonstrate lattices that realize Bose-Hubbard models with 2, 4, or 6 nearest neighbors, and quantify the extent that these different lattices effect the superfluid to Mott-insulator transition.
arXiv comment10 Pages and 5 figures, Accepted for publication in J. Phys. B
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