Role of Particle Interactions in the Feshbach Conversion of Fermion Atoms to Bosonic Molecules

Abstract

We investigate the Feshbach conversion of fermion atomic pairs to condensed boson molecules with a microscopic model that accounts the repulsive interactions among all the particles involved. We find that the conversion efficiency is enhanced by the interaction between boson molecules while suppressed by the interactions between fermion atoms and between atom and molecule. In certain cases, the combined effect of these interactions leads to a ceiling of less than 100% on the conversion efficiency even in the adiabatic limit. Our model predicts a non-monotonic dependence of the efficiency on mean atomic density. Our theory agrees well with recent experiments on ${}^6$Li and ${}^{40}$K.

arXiv comment5 pages, 4 figures

References in corpus (35)

• Observation of resonance condensation of fermionic atom pairs
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Production of cold molecules via magnetically tunable Feshbach resonances
• Creation of ultracold molecules from a Fermi gas of atoms
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Weakly bound dimers of fermionic atoms
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Resonance superfluidity in a quantum degenerate Fermi gas
• The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
• Prospect of creating a composite fermi/bose superfluid
• Theory of nonlinear Landau-Zener tunneling
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Atom-molecule coherence in Bose gases
• Resonance Superfluidity: Renormalization of Resonance Scattering Theory
• Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
• Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Adiabatic association of ultracold molecules via magnetic field tunable interactions
• Dynamic projection on Feshbach molecules: a probe of pairing and phase fluctuations
• Atom-molecule coexistence and collective dynamics near a Feshbach resonance of cold fermions
• Exactly-solvable models for atom-molecule hamiltonians
• Many-body effects on adiabatic passage through Feshbach resonances
• Collective molecule formation in a degenerate Fermi gas via a Feshbach resonance
• Nonlinear adiabatic passage from fermion atoms to boson molecules
• Phase diagrams for an ideal gas mixture of fermionic atoms and bosonic molecules
• Population of closed-channel molecules in trapped Fermi gases with broad Feshbach resonances
• Molecular production in two-component atomic Fermi gases
• Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp
• On the conversion efficiency of ultracold fermionic atoms to bosonic molecules via Feshbach resonances
• BCS-BEC crossover and quantum phase transition for 6Li and 40K atoms across Feshbach resonance
• Boson-Fermion coherence in a spherically symmetric harmonic trap
• Bose-Einstein condensation temperature of a gas of weakly dissociated diatomic molecules
• Conversion Efficiencies of Heteronuclear Feshbach Molecules

Cited by in corpus (9)

• Adiabatic passage through chaos
• Shapiro-like Resonance in Ultracold Molecule Production via an Oscillating Magnetic Field
• Many-body adiabatic passage: Quantum detours around chaos
• Parametric tuning of quantum phase transitions in ultracold reactions
• Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included
• 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
• Stochastic and equilibrium pictures of the ultracold FFR molecular conversion rate