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

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.