Collective molecule formation in a degenerate Fermi gas via a Feshbach resonance

Abstract

We model collisionless collective conversion of a degenerate Fermi gas into bosonic molecules via a Feshbach resonance, treating the bosonic molecules as a classical field and seeding the pairing amplitudes with random phases. A dynamical instability of the Fermi sea against association into molecules initiates the conversion. The model qualitatively reproduces several experimental observations {[Regal et al., Nature {\bf 424}, 47 (2003)]}. We predict that the initial temperature of the Fermi gas sets the limit for the efficiency of atom-molecule conversion.

4 pages, 3 figures, 10+ references, accepted to PRL

References in corpus (5)

• Observation of Bose-Einstein Condensation of Molecules
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
• Achieving a BCS transition in an atomic Fermi gas
• Tree-body loss of of trapped ultracold ${}^{87}$Rb atoms due to a Feshbach resonance

Cited by in corpus (29)

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• How to observe a coherent superposition of an atom and a molecule
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• Phase diagrams for an ideal gas mixture of fermionic atoms and bosonic molecules
• Production efficiency of Feshbach molecules in fermion systems
• Molecular production in two-component atomic Fermi gases
• Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp
• Number statistics of molecules formed from ultra-cold atoms
• Simple Mean-Field Theory for a Zero-Temperature Fermi Gas at a Feshbach Resonance
• Role of Particle Interactions in the Feshbach Conversion of Fermion Atoms to Bosonic Molecules
• Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates
• Feshbach-Resonant Interactions in 40K and 6Li Degenerate Fermi Gases
• Molecular production at a wide Feshbach resonance in Fermi-gas of cooled atoms
• Boson-Fermion coherence in a spherically symmetric harmonic trap
• A comparative study of dynamical simulation methods for the dissociation of molecular Bose-Einstein condensates
• Fluctuations in the formation time of ultracold dimers from fermionic atoms
• Parametric tuning of quantum phase transitions in ultracold reactions
• Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
• Boson-like quantum dynamics of association in ultracold Fermi gases
• Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance
• New Directions in Degenerate Dipolar Molecules via Collective Association
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Post-adiabatic Hamiltonian for low-energy excitations in a slowly time-dependent BCS-BEC crossover
• Mean-field stationary state of a Bose gas at a Feshbach resonance
• Quantum optics of ultra-cold molecules