Dressed molecules in an optical lattice
arXiv:cond-mat/0605056 · doi:10.1088/1367-2630/8/8/151
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.
20 pages, 4 figures
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Cited by in corpus (11)
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- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Microscopic derivation of Hubbard parameters for cold atomic gases
- Heteronuclear molecules in an optical lattice: Theory and experiment
- Superfluid-insulator transitions of the Fermi gas with near-unitary interactions in a periodic potential
- Two-channel Feshbach physics in a structured continuum
- Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
- Feshbach Molecules in a One-dimensional Optical Lattice
- Two ultracold atoms in a completely anisotropic trap
- Unitarity in periodic potentials: a renormalization group analysis
- Resonant Superfluidity in an Optical Lattice