Coherent Reaction between Molecular and Atomic Bose-Einstein Condensates: Integrable Model

We solve a model that describes a stimulated conversion between ultracold bosonic atoms and molecules. The reaction is triggered by a linearly time-dependent transition throughout the Feshbach resonance. Our solution predicts a dependence, with a dynamic phase transition, of the reaction efficiency on the transition rate for both atoms-to-molecule pairing and molecular dissociation processes. We find that for the latter process with a linear energy dispersion of atomic modes, the emerging phase can have a thermalized energy distribution of noninteracting bosons with the temperature defined by the rate of the transition. This provides a simple interpretation of the phase transition in terms of the creation of equilibrium Bose-Einstein condensate.

Automated summary

This article investigates a model describing the conversion between ultracold bosonic atoms and molecules through a stimulated reaction. By solving the model equations, the study finds a dynamic phase transition in the reaction efficiency dependent on the transition rate. For the process of molecular dissociation, if the atomic modes have a linear energy dispersion, the emerging phase may have a thermalized energy distribution of noninteracting bosons defined by the transition rate.