We investigate the Feshbach conversion of fermionic atom pairs to condensed bosonic molecules with a microscopic model that accounts for the repulsive interactions among all the particles involved. We find that the conversion efficiency is enhanced by the interaction between bosonic molecules, while it is suppressed by the interactions between fermionic atoms and between atoms and molecules. In the adiabatic limit, the combined effect of these interactions can lead to a ceiling of less than 100% on the conversion efficiency for a narrow Feshbach resonance. Our theory agrees with the recent Rice experiment on 6 Li.
We construct covariant coordinate transformations on the fuzzy sphere and utilize these to construct a covariant map from a gauge theory on the fuzzy sphere to a gauge theory on the ordinary sphere. We show that this construction coincides with the Seiberg-Witten map on the Moyal plane in the appropriate limit. The analysis takes place in the algebra and is independent of any star-product representation.
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