Abstract
A simple two-atom model is shown to describe a Bose–Einstein condensate of alkali atomssubjected to external magnetic field ramps near a Feshbach resonance. The implicationsuncovered for two atoms in a trap can be applied at least approximately to a many-atomcondensate. A connection to observations is accomplished by scaling the trap frequency toachieve a density comparable to that of the experiments, which yields the fraction of atompairs in the gas that become molecules. A sudden approximation is used to model theexternal magnetic field ramps in the vicinity of a two-body Feshbach resonance. The resultsof this model are compared with recent experimental observations of Donley et al (2002Nature 417 529).
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