Many-Body Effects on Nonadiabatic Feshbach Conversion in Bosonic Systems

Abstract

We investigate the dynamics of converting cold bosonic atoms to molecules when an external magnetic field is swept across a Feshbach resonance. Our analysis relies on a zero temperature quantum microscopic model that accounts for many-body effects, triggering the association process. We show that the picture of two-body molecular production depicted by Landau-Zener model is significantly altered due to many-body effects. In nonadiabatic regime, we derive an analytic expression for molecular conversion efficiency that explains the discrepancy between the prediction of Landau-Zener formula and experimental data[Hodby et al., Phys. Rev. Lett. {\bf 94}, 120402 (2005)]. Our theory is further extended to the formation of heteronuclear diatomic molecules and gives some interesting predictions.

7pages 5figures

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Cited by in corpus (13)

• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• The role of particle interactions in a many-body model of Feshbach molecular formation in bosonic systems
• Adiabatic passage through chaos
• Variational ansatz for the nonlinear Landau-Zener problem for cold atom association
• Shapiro-like Resonance in Ultracold Molecule Production via an Oscillating Magnetic Field
• Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
• Many-body adiabatic passage: Quantum detours around chaos
• Landau-Zener transition in quadratic-nonlinear two-state systems
• Semiclassical quantisation for a bosonic atom-molecule conversion system
• Interaction-induced instability and chaos in the photoassociative stimulated Raman adiabatic passage from atomic to molecular Bose-Einstein condensates
• Cyclotron dynamics of a Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Exact ground-state correlation functions of an atomic-molecular boson conversion model