Collective oscillations of a Fermi gas near a Feshbach resonance

Abstract

A sum rule approach is used to calculate the zero temperature oscillation frequencies of a two component trapped atomic Fermi gas in the BCS-Bose Einstein condensation crossover region. These sum rules are evaluated using a local density approximation which explicitly includes Feshbach molecules. Breathing modes show non-monotonic behavior as a function of the interaction strength, while quadrupole modes are insensitive to interactions for both spherically symmetric and axially symmetric traps. Quantitative agreement is found with experiments on atomic ${}^{6}Li$ system and with other theoretical approaches.

arXiv comment7 pages, 4 figures

References in corpus (38)

• Observation of resonance condensation of fermionic atom pairs
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Collective excitations of a trapped Bose-condensed gas
• Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
• Weakly bound dimers of fermionic atoms
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Superfluid Fermi Gases with Large Scattering Length
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Resonance superfluidity in a quantum degenerate Fermi gas
• The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
• Prospect of creating a composite fermi/bose superfluid
• Measurement of positive and negative scattering lengths in a Fermi gas of atoms
• Fermi systems with long scattering lengths
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Trapped Fermi gases
• Resonance Superfluidity: Renormalization of Resonance Scattering Theory
• Bulk and Collective Properties of a Dilute Fermi Gas in the BCS-BEC Crossover
• Superfluidity and collective modes in a uniform gas of Fermi atoms with a Feshbach resonance
• Collective modes of trapped gases at the BEC-BCS crossover
• Elastic and inelastic collisions of 6Li in magnetic and optical traps
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Time-Dependent Density-Functional Theory for Trapped Strongly-Interacting Fermionic Atoms
• Breakdown of Hydrodynamics in the Radial Breathing Mode of a Strongly-Interacting Fermi Gas
• Measurement of the Zero Crossing in a Feshbach Resonance of Fermionic 6-Li
• Collective oscillations of a trapped Fermi gas near a Feshbach resonance
• Collective oscillations of an interacting trapped Fermi gas
• Superfluid transition temperature in a trapped gas of Fermi atoms with a Feshbach resonance
• Resonance theory of the crossover from Bardeen-Cooper-Schrieffer superfluidity to Bose-Einstein condensation in a dilute Fermi gas
• Collective oscillations of a trapped Fermi gas near the unitary limit
• Signatures of resonance superfluidity in a quantum Fermi gas
• Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover
• Single-particle excitations in a trapped gas of Fermi atoms in the BCS-BEC crossover region
• Internal energy and condensate fraction of a trapped interacting Bose gas
• Two-component Fermi gas with a resonant interaction
• Shrinking of a condensed fermionic cloud in a trap approaching the BEC limit

Cited by in corpus (4)

• Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region
• Collective oscillations of a two-component Fermi gas on the repulsive branch
• Tan's universal contact and collective oscillations of strongly interacting Fermi gases
• Bogoliubov spectrum of a cigar shaped Fermi superfluid in an optical lattice at the BEC-BCS crossover