Feshbach Molecules in a One-dimensional Optical Lattice

Details Feshbach Molecules in a One-dimensional Optical Lattice Feshbach Molecules in a One-dimensional Optical Lattice

2007-08-17

arxiv.org/abs/0708.2329v2

Phys. Rev. A 77, 021601(R) (2008)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.77.021601

We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the continuum band and the discrete bound states outside the band. We identify a Fano resonance profile, and the survival probability of a molecule when swept through the Bloch band of scattering states by varying an applied magnetic field. We discuss how these results may be used to investigate the importance of the structured nature of the continuum in experiments.

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