Phys. Rev. A 71, 043604 (2005) [4 pages]Feshbach resonances in an optical latticeReceived 16 September 2004; revised 24 November 2004; published 11 April 2005 We present a theory for ultracold atomic gases in an optical lattice near a Feshbach resonance. In the single-band approximation the theory describes atoms and molecules that can both tunnel through the lattice. Moreover, an avoided crossing between the two-atom and the molecular states occurs at every site. We determine the microscopic parameters of the generalized Hubbard model that describes this physics, using the experimentally known parameters of the Feshbach resonance in the absence of the optical lattice. As an application we also calculate the zero-temperature phase diagram of an atomic Bose gas in an optical lattice. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.043604
DOI:
10.1103/PhysRevA.71.043604
PACS:
03.75.Hh, 39.25.+k, 67.40.−w
See AlsoComment: Roberto B. Diener and Tin-Lun Ho, Comment on “Feshbach resonances in an optical lattice”, Phys. Rev. A 73, 017601 (2006). Reply: D. B. Dickerscheid, D. van Oosten, and H. T. Stoof, Reply to “Comment on ‘Feshbach resonances in an optical lattice’ ”, Phys. Rev. A 73, 017602 (2006). |
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