Nonlinear adiabatic passage from fermion atoms to boson molecules

Abstract

We study the dynamics of an adiabatic sweep through a Feshbach resonance in a quantum gas of fermionic atoms. Analysis of the dynamical equations, supported by mean-field and many-body numerical results, shows that the dependence of the remaining atomic fraction $\Gamma$ on the sweep rate $\alpha$ varies from exponential Landau-Zener behavior for a single pair of particles to a power-law dependence for large particle number $N$. The power-law is linear, $\Gamma \propto \alpha$, when the initial molecular fraction is smaller than the 1/N quantum fluctuations, and $\Gamma \propto {\alpha }^{1/3}$ when it is larger. Experimental data agree better with a linear dependence than with an exponential Landau-Zener fit, indicating that many-body effects are significant in the atom-molecule conversion process.

5 pages, 4 figures

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Cited by in corpus (26)

• Production of cold molecules via magnetically tunable Feshbach resonances
• Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective
• 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
• WKB approach and quantum corrections to classical dynamics in the Josephson problem
• Adiabatic passage through chaos
• Role of Particle Interactions in the Feshbach Conversion of Fermion Atoms to Bosonic Molecules
• Change in the adiabatic invariant in a nonlinear two-mode model of Feshbach resonance passage
• Matter-wave squeezing and the generation of SU(1,1) and SU(2) coherent-states via Feshbach resonances
• Full counting statistics of heteronuclear molecules from Feshbach-assisted photo association
• Molecular production at a wide Feshbach resonance in Fermi-gas of cooled atoms
• Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
• Many-body adiabatic passage: Quantum detours around chaos
• Weak coupling regime of the Landau-Zener transition for association of an atomic Bose-Einstein condensate
• Rosen-Zener model in cold molecule formation
• Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
• Strong-coupling limit in cold-molecule formation via photoassociation or Feshbach resonance through Nikitin exponential resonance crossing
• Quantum phase transition in a three-level atom-molecule system
• Landau-Zener transition in quadratic-nonlinear two-state systems
• Interaction-induced instability and chaos in the photoassociative stimulated Raman adiabatic passage from atomic to molecular Bose-Einstein condensates
• Few-body ultracold reactions in a Bose-Fermi mixture
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence
• Stability of linear and non-linear lambda and tripod systems in the presence of amplitude damping
• First-order phase transition in atom-molecule quantum degenerate mixtures with coherent three-body recombination