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

TL;DR

This paper presents an exactly solvable model of stimulated atom-molecule conversion in ultracold gases, revealing a dynamic phase transition with quantum correlations and a thermalized energy distribution dependent on transition rates.

Contribution

It introduces a new integrable model for atom-molecule conversion during Feshbach resonance, highlighting a dynamic phase transition and quantum correlations in the reaction process.

Findings

Reaction efficiency shows nonexponential dependence on transition rate.

Emerging phase exhibits thermalized energy distribution with quantum correlations.

Reaction dynamics involve a dynamic phase transition.

Abstract

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 nonexponential dependence, with a dynamic phase transition, of the reaction efficiency on the transition rate. We find that the emerging phase can have a thermalized energy distribution with the temperature defined by the rate of the transition. This phase, however, has strong purely quantum correlations.