Feshbach resonances in an optical lattice

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 ev...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2005-04, Vol.71 (4), Article 043604
Main Authors: Dickerscheid, D. B. M., Al Khawaja, U., van Oosten, D., Stoof, H. T. C.
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN GAS
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ENERGY LEVELS
HUBBARD MODEL
MOLECULES
PHASE DIAGRAMS
RESONANCE
TUNNEL EFFECT
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Summary: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.71.043604