Quantum field effects in coupled atomic and molecular Bose-Einstein condensates

Abstract

This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using the functional positive-P representation. These equations describe the full quantum state of the coupled condensates and include the commonly used Gross-Pitaevskii equation as the noiseless limit. The model includes all interactions between the particles, background gas losses, two-body losses and the numerical simulations are performed in three dimensions. It is found that it is possible to differentiate the quantum and semiclassical behaviour when the particle density is sufficiently low and the coupling is sufficiently strong.

4 postscript figures

References in corpus (2)

• Superchemistry: dynamics of coupled atomic and molecular Bose-Einstein condensates
• Coherent molecular solitons in Bose-Einstein condensates

Cited by in corpus (11)

• Formation of a molecular Bose-Einstein condensate and an entangled atomic gas by Feshbach resonance
• Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate
• Number-Phase Wigner Representation for Efficient Stochastic Simulations
• Quantum superchemistry in an output coupler of coherent matter waves
• Scalable quantum field simulations of conditioned systems
• Number-Phase Wigner Representation for Scalable Stochastic Simulations of Controlled Quantum Systems
• Quantum phase-space analysis of the pendular cavity
• Quantum Noise in the Collective Abstraction Reaction A+B ${}_2\to$ AB+B
• Formation of molecules in an expanding Bose-Einstein condensate
• Atom loss from the ${}^{85}$Rb Bose-Einstein condensate by a Feshbach resonance
• Coherent bimolecular reactions with quantum-degenerate matter waves