Dressed molecules in an optical lattice
Abstract
We present the theory of an atomic gas in an optical lattice near a Feshbach resonance. We derive from first principles a generalized Hubbard model, that incorporates all the relevant two-body physics exactly, except for the background atom-atom scattering. For most atoms the background interactions are negligible, but this is not true for lithium-6, which has an exceptionally large background scattering length near the experimentally relevant Feshbach resonance at 834 G. Therefore, we show how to include background atom-atom scattering by solving the on-site two-body Feshbach problem exactly. We apply the obtained solution to lithium-6 and find that the background interactions indeed have a significant effect in this case.
Cite
@article{arxiv.cond-mat/0605056,
title = {Dressed molecules in an optical lattice},
author = {K. B. Gubbels and D. B. M. Dickerscheid and H. T. C. Stoof},
journal= {arXiv preprint arXiv:cond-mat/0605056},
year = {2009}
}
Comments
20 pages, 4 figures