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We solve a model that describes a stimulated conversion between ultracoldbosonic atoms and molecules. The reaction is triggered by a linearlytime-dependent transition throughout the Feshbach resonance. Our solutionpredicts a nonexponential dependence, with a dynamic phase transition, of thereaction efficiency on the transition rate. We find that the emerging phase canhave a thermalized energy distribution with the temperature defined by the rateof the transition. This phase, however, has strong purely quantum correlations.

Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model