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We model stimulated conversion between ultracold atoms and molecules using Feshbach resonance. The study reveals a dynamic phase transition influencing reaction efficiency, with temperature determined by the transition rate for molecular dissociation.

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Area of Science:

  • Quantum physics
  • Ultracold atomic gases

Background:

  • Stimulated conversion between ultracold bosonic atoms and molecules is a key process in quantum gas research.
  • Feshbach resonances provide a powerful tool to control interatomic interactions.

Purpose of the Study:

  • To solve a model describing stimulated conversion between ultracold bosonic atoms and molecules.
  • To investigate the role of a linearly time-dependent transition through a Feshbach resonance on reaction efficiency.
  • To analyze the emerging phases and their properties, particularly for molecular dissociation.

Main Methods:

  • Solving a theoretical model for atom-molecule conversion.
  • Analyzing a linearly time-dependent transition through a Feshbach resonance.
  • Investigating the dependence of reaction efficiency on the transition rate.
  • Examining the energy distribution of atomic modes for molecular dissociation.

Main Results:

  • The model predicts a dynamic phase transition in reaction efficiency dependent on the transition rate.
  • Both atoms-to-molecule pairing and molecular dissociation processes exhibit this transition.
  • For molecular dissociation with linear energy dispersion, the system can exhibit a thermalized energy distribution.
  • The temperature of this thermalized phase is determined by the transition rate.

Conclusions:

  • The study provides a theoretical framework for understanding stimulated atom-molecule conversion near Feshbach resonances.
  • A dynamic phase transition is identified, offering insights into reaction control.
  • The emergence of a thermalized Bose-Einstein condensate-like phase is explained through the transition rate.