Making Cold Molecules by Time-dependent Feshbach Resonances

Details Making Cold Molecules by Time-dependent Feshbach Resonances Making Cold Molecules by Time-dependent Feshbach Resonances

2003-12-18

arxiv.org/abs/cond-mat/0312492v3

Journal of Modern Optics 51, 1787-1806 (2004)

Physics

Condensed Matter

Other Condensed Matter

11 pages, 11 figures; talk for Quantum Challenges Symposium, Warsaw, Poland, September 4-7, 2003. Published in Journal of Mode

Scientific paper

Pairs of trapped atoms can be associated to make a diatomic molecule using a time dependent magnetic field to ramp the energy of a scattering resonance state from above to below the scattering threshold. A relatively simple model, parameterized in terms of the background scattering length and resonance width and magnetic moment, can be used to predict conversion probabilities from atoms to molecules. The model and its Landau-Zener interpretation are described and illustrated by specific calculations for $^{23}$Na, $^{87}$Rb, and $^{133}$Cs resonances. The model can be readily adapted to Bose-Einstein condensates. Comparison with full many-body calculations for the condensate case show that the model is very useful for making simple estimates of molecule conversion efficiencies.

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