The role of particle interactions in a many-body model of Feshbach molecular formation in bosonic systems

Abstract

In this paper, we investigate the atom-molecule conversion dynamics of a generalized many-body model that includes the atom-atom, atom-molecule, and molecule-molecule interactions, emphasizing the efficiency of the Feshbach molecular formation. We show that the picture of two-body molecular production depicted by the Landau-Zener model is significantly altered: The energy levels are dramatically distorted and the conversion efficiency is suppressed by the particle interactions. According to the rule of constant action and with the help of phase-space analysis, we derive an analytical expression for the conversion efficiency in the adiabatic limit. It shows a ceiling for the conversion efficiency when the interaction strength is larger than a critical value. We further derive a closed equation for the conversion efficiency with the stationary phase approximation. In the sudden limit, the conversion efficiency is twice that predicted by the two-body Landau-Zener formula. Our analytical formula has been confirmed by numerical calculations.

7 pages, 5 figures

References in corpus (11)

• Production of cold molecules via magnetically tunable Feshbach resonances
• Weakly bound dimers of fermionic atoms
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems
• Adiabatic association of ultracold molecules via magnetic field tunable interactions
• Classical and quantum dynamics of a model for atomic-molecular Bose--Einstein condensates
• Many-body effects on adiabatic passage through Feshbach resonances
• Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
• Many-Body Effects on Nonadiabatic Feshbach Conversion in Bosonic Systems
• Bose-Einstein condensation temperature of a gas of weakly dissociated diatomic molecules
• Sweeping a molecular Bose-Einstein condensate across a Feshbach resonance

Cited by in corpus (12)

• Berry Phase in Atom-Molecule Conversion Systems and Fractional Monopole
• Quantum phase transitions in an interacting atom-molecule boson model
• Atom-molecule conversion with particle losses
• Atom-molecule conversion system subject to phase noises
• Classical and quantum analysis of a heterotriatomic molecular Bose-Einstein-condensate model
• Quantum phase transition in a three-level atom-molecule system
• Classical-quantum correspondence in bosonic two-mode conversion systems: polynomial algebras and Kummer shapes
• Semiclassical quantisation for a bosonic atom-molecule conversion system
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Quantum entanglement and phase transition in a two-dimensional photon-photon pair model
• Exact ground-state correlation functions of an atomic-molecular boson conversion model
• Bound state of solution of Dirac-Coulomb problem with spatially dependent mass