Hydrodynamic Excitations of Trapped Fermi Gases

Abstract

We discuss collective excitations of a trapped dilute Fermi gas within a hydrodynamic approximation. Analytical results are derived for both high- and low-temperature limits and are applied to ${}^{40}$K and ${}^6$Li systems of current experimental interest. We identify spectral signatures which can be used to detect the onset of Fermi degeneracy. Also, we find an interesting class of internal excitations with an unusual spectrum. Some of our results are relevant to the case of trapped bosons as well. Our analysis suggests several experiments which address fundamental problems of collective motion in quantum fluids.

4 pages, no figures. A few references added. To appear in Phys. Rev. Lett. Vol. 83, 1999

References in corpus (1)

• Collective excitations of a trapped degenerate Fermi gas

Cited by in corpus (54)

• Collective excitations of a degenerate gas at the BEC-BCS 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
• Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
• Evaporative Cooling of a Two-Component Degenerate Fermi Gas
• Low energy Collective Modes of a Superfluid Trapped atomic Fermi Gas
• Transition from Collisionless to Hydrodynamic Behaviour in an Ultracold Atomic Gas
• Semiclassical theory of trapped fermionic dipoles
• Fermi Gases in Slowly Rotating Traps: Superfluid vs Collisional Hydrodynamics
• First and second sound in a strongly interacting Fermi gas
• Stable, Strongly Attractive, Two-State Mixture of Lithium Fermions in an Optical Trap
• Sum Rule Approach to Collective Oscillations of Boson-Fermion Mixed Condensate of Alkali Atoms
• Spin Excitations in a Fermi Gas of Atoms
• Zero sound density oscillations in Fermi-Bose mixtures
• Two-fluid hydrodynamic modes in a trapped superfluid gas
• Laser probing of Cooper-paired trapped atoms
• Collective oscillations of a trapped quantum gas in low dimensions
• Ideal Gases in Time-Dependent Traps
• Shell structure and pairing for interacting fermions in a trap
• Pairing of fermions in atomic traps and nuclei
• Dipolar Fermi gases in anisotropic traps
• Hydrodynamic excitations of trapped dipolar fermions
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Collective Motion of Polarized Dipolar Fermi Gases in the Hydrodynamic Regime
• First and second sound in cylindrically trapped gases
• Ground state of two-component degenerate fermionic gases
• Collective Modes of Trapped Fermi Gases in the Normal Phase
• Vortices in superfluid trapped Fermi gases at zero temperature
• Effects of Berry Curvature on the Collective Modes of Ultracold Gases
• BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
• Solitons and vortices in ultracold fermionic gases
• Optical generation of quasisolitons in a single-component gas of neutral fermionic atoms
• Collective Excitations of Trapped Imbalanced Fermion Gases
• Coupling of hydrodynamics and quasiparticle motion in collective modes of superfluid trapped Fermi gases
• Zero and First Sound in Normal Fermi Systems
• Hydrodynamic modes in dense trapped ultracold gases
• Ground state fluctuations in finite Fermi and Bose systems
• Zero Sound and First Sound in a Disk-Shaped Normal Fermi gas
• Collective excitations of degenerate Fermi gases in anisotropic parabolic traps
• Collective excitation of trapped degenerate Fermi gases
• Density response of a trapped Fermi gas: a crossover from the pair vibration mode to the Goldstone mode
• Finite temperature hydrodynamic modes of trapped quantum gases
• On the specific heat of a fermionic atomic cloud in the unitary regime
• Sound wave propagation in strongly elongated fermion clouds at finite collisionality
• Collisionless collective modes of fermions in magnetic traps
• Hydrodynamic collective modes for cold trapped gases
• Shell Effects in the First Sound Velocity of an Ultracold Fermi Gas
• Dynamic virial theorem at nonequilibrium and applications
• Spin Collective Modes of Two-Species Fermi Liquids: Helium-3 and Atomic Gases near the Feshbach Resonance
• Twocomponent Fermi vapour in a 2D rotating trap
• Collective excitations of trapped Fermi or Bose gases
• Superfluid hydrodynamics of polytropic gases:dimensional reduction and sound velocity
• Instability of a trapped ultracold Fermi gas with attractive interactions : quantum effects
• Rotating fermions in two dimensions: Thomas Fermi approach