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

R. Walters, G. Cotugno, T. H. Johnson, S. R. Clark, D. Jaksch

Research output: Contribution to journalArticlepeer-review

45 Citations (SciVal)
233 Downloads (Pure)


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/.
Original languageEnglish
Article number043613
Number of pages13
JournalPhysical Review A: Atomic, Molecular, and Optical Physics
Issue number4
Early online date10 Apr 2013
Publication statusPublished - Apr 2013


  • quant-ph
  • cond-mat.str-el
  • 81V80


Dive into the research topics of 'Ab initio derivation of Hubbard models for cold atoms in optical lattices'. Together they form a unique fingerprint.

Cite this