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Feshbach Molecules in a One-dimensional Optical Lattice

arXiv
Authors: N. Nygaard, R. Piil, K. Molmer

Year

2007

Paper ID

49342

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

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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  • This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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  • We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance.

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