Construction of localized wave functions for a disordered optical lattice and analysis of the resulting Hubbard model parameters

Details Construction of localized wave functions for a disordered optical lattice and analysis of the resulting Hubbard model parameters Construction of localized wave functions for a disordered optical lattice and analysis of the resulting Hubbard model parameters

2009-07-29

arxiv.org/abs/0907.5053v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 16 figures

Scientific paper

We propose a method to construct localized single particle wave functions using imaginary time projection and thereby determine lattice Hamiltonian parameters. We apply the method to a specific disordered potential generated by an optical lattice experiment and calculate for each instance of disorder, the equivalent lattice model parameters. The probability distributions of the Hubbard parameters are then determined. Tests of localization and eigen-energy convergence are examined.

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