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Ab initio derivation of Hubbard models for cold atoms in optical lattices


Reference:

Walters, R., Cotugno, G., Johnson, T. H., Clark, S. R. and Jaksch, D., 2013. Ab initio derivation of Hubbard models for cold atoms in optical lattices. Physical Review A: Atomic, Molecular, and Optical Physics, 87 (4), 043613.

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    Official URL:

    http://dx.doi.org/10.1103/PhysRevA.87.043613

    Abstract

    We derive ab initio local Hubbard models for several optical lattice potentials of current interest, including the honeycomb and Kagom\'{e} lattices, verifying their accuracy on each occasion by comparing the interpolated band structures against the originals. To achieve this, we calculate the maximally-localized generalized Wannier basis by implementing the steepest-descent algorithm of Marzari and Vanderbilt [N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997)] directly in one and two dimensions. To avoid local minima we develop an initialization procedure that is both robust and requires no prior knowledge of the optimal Wannier basis. The MATLAB code that implements our full procedure is freely available online at http://ccpforge.cse.rl.ac.uk/gf/project/mlgws/.

    Details

    Item Type Articles
    CreatorsWalters, R., Cotugno, G., Johnson, T. H., Clark, S. R. and Jaksch, D.
    DOI10.1103/PhysRevA.87.043613
    Uncontrolled Keywordsquant-ph,cond-mat.str-el,81v80
    DepartmentsFaculty of Science > Physics
    RefereedYes
    StatusPublished
    ID Code47327
    Additional Information13 pages, 14 figures

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