Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp

Abstract

Starting with coupled atom-molecule Boltzmann equations, we develop a simplified model to understand molecule formation observed in recent experiments. Our theory predicts several key features: (1) the effective adiabatic rate constant is proportional to density; (2) in an adiabatic ramp, the dependence of molecular fraction on magnetic field resembles an error function whose width and centroid are related to the temperature; (3) the molecular production efficiency is a universal function of the initial phase space density, the specific form of which we derive for a classical gas. Our predictions show qualitative agreement with the data from [Hodby et al, Phys. Rev. Lett. {\bf{94}}, 120402 (2005)] without the use of adjustable parameters.

References in corpus (17)

• Observation of resonance condensation of fermionic atom pairs
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Creation of ultracold molecules from a Fermi gas of atoms
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
• Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems
• Dissociation and Decay of Ultra-cold Sodium Molecules
• Achieving a BCS transition in an atomic Fermi gas
• Formation Time of a Fermion Pair Condensate
• Adiabatic association of ultracold molecules via magnetic field tunable interactions
• Thermal equilibrium and efficient evaporation of an ultracold atom-molecule mixture
• Collective molecule formation in a degenerate Fermi gas via a Feshbach resonance
• Degenerate atom-molecule mixture in a cold Fermi gas
• Phase diagrams for an ideal gas mixture of fermionic atoms and bosonic molecules
• Molecular production in two-component atomic Fermi gases
• On the conversion efficiency of ultracold fermionic atoms to bosonic molecules via Feshbach resonances
• Atom-molecule equilibration in a degenerate Fermi gas with resonant interactions

Cited by in corpus (19)

• Production of cold molecules via magnetically tunable Feshbach resonances
• Formation of Ultracold Fermionic NaLi Feshbach Molecules
• Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective
• The Hyperspherical Four-Fermion Problem
• Association of molecules using a resonantly modulated magnetic field
• Feshbach molecule formation in a Bose-Fermi mixture
• Role of Particle Interactions in the Feshbach Conversion of Fermion Atoms to Bosonic Molecules
• Enhanced association and dissociation of heteronuclear Feshbach molecules in a microgravity environment
• Feshbach molecule production in fermionic atomic gases
• Shapiro-like Resonance in Ultracold Molecule Production via an Oscillating Magnetic Field
• Conversion Efficiencies of Heteronuclear Feshbach Molecules
• Feshbach molecule formation through an oscillating magnetic field: subharmonic resonances
• Adiabatic cooling of a tunable Bose-Fermi mixture in an optical lattice
• Adiabatic Phase Diagram of an Ultracold Atomic Fermi Gas with a Feshbach Resonance
• Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases
• Stochastic and equilibrium pictures of the ultracold FFR molecular conversion rate
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice
• Adiabatic Phase Diagram on Degenerate Fermi Gas with Feshbach-Resonance