Wannier states and Bose-Hubbard parameters for 2D optical lattices. Blakie, B, P, Clark, & W, C. J. Phys. B: At. Mol. Opt. Phys., 37(7):1391--1404, 2004.
Wannier states and Bose-Hubbard parameters for 2D optical lattices [link]Paper  doi  abstract   bibtex   
We consider the physical implementation of a 2D optical lattice with schemes involving three and four 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 neighbours, and quantify the extent that these different lattices affect the superfluid to Mott-insulator transition.
@article{ Blakie:2004je,
  author = {Blakie, P B and Clark, CW W},
  title = {{Wannier states and Bose-Hubbard parameters for 2D optical lattices}},
  journal = {J. Phys. B: At. Mol. Opt. Phys.},
  year = {2004},
  volume = {37},
  number = {7},
  pages = {1391--1404},
  affiliation = {Natl Inst Stand {\&} Technol, Div Electron {\&} Opt Phys, Gaithersburg, MD 20899 USA},
  doi = {10.1088/0953-4075/37/7/002},
  language = {English},
  rating = {0},
  date-added = {2009-02-03T21:39:15GMT},
  date-modified = {2015-04-08T22:48:10GMT},
  abstract = {We consider the physical implementation of a 2D optical lattice with schemes involving three and four 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 neighbours, and quantify the extent that these different lattices affect the superfluid to Mott-insulator transition.},
  url = {http://www.iop.org/EJ/abstract/0953-4075/37/7/002/},
  local-url = {file://localhost/Users/abradley/Dropbox/Library.papers3/Files/39/39BDA9A8-E143-4739-9AF6-60E9D88DB586.pdf},
  file = {{39BDA9A8-E143-4739-9AF6-60E9D88DB586.pdf:/Users/abradley/Dropbox/Library.papers3/Files/39/39BDA9A8-E143-4739-9AF6-60E9D88DB586.pdf:application/pdf}},
  uri = {̆rl{papers3://publication/doi/10.1088/0953-4075/37/7/002}}
}

Downloads: 0