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

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.

5 pages, 2 Figures

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Cited by in corpus (8)

• Many-body Chemical Reactions in a Quantum Degenerate Gas
• Parametric tuning of quantum phase transitions in ultracold reactions
• Nonadiabatic dissociation of molecular Bose-Einstein condensates: competition between chemical reactions
• Bosonic Quantum Breakdown Hubbard Model
• Analytic approach to the Landau-Zener problem in bounded parameter space
• Lifetime of Excitations in Atomic and Molecular Bose-Einstein Condensates
• Quantum Triticality of Bosonic Atomic-Molecular Mixtures with Feshbach Coupling
• Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models