Collective oscillations of a trapped Fermi gas near the unitary limit

Abstract

We calculate the oscillation frequencies of trapped Fermi condensate with particular emphasis on the equation of state of the interacting Fermi system. We confirm Stringari's finding that the frequencies are independent of the interaction in the unitary limit, and we extend the theory away from that limit, where the interaction does affect the frequencies of the compressional modes only.

4 pages, corrected a couple of trivial mistakes in table II and the related text and added references

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Cited by in corpus (59)

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• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Nucleon Effective Masses in Neutron-Rich Matter
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Number of closed-channel molecules in the BEC-BCS crossover
• Bulk and Collective Properties of a Dilute Fermi Gas in the BCS-BEC Crossover
• Scale invariance and viscosity of a two-dimensional Fermi gas
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover
• Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Density-functional theory for fermions in the unitary regime
• Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover
• Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
• Sound velocity and multibranch Bogoliubov spectrum of an elongated Fermi superfluid in the BEC-BCS crossover
• Two-fluid hydrodynamic modes in a trapped superfluid gas
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• The isospin quartic term in the kinetic energy of neutron-rich nucleonic matter
• Local density approximation for a perturbative equation of state
• Shear viscosity and damping of collective modes in a two-dimensional Fermi gas
• Collective Excitations of Strongly Interacting Fermi Gases of Atoms in a Harmonic Trap
• Faraday waves in quasi-one-dimensional superfluid Fermi-Bose mixtures
• Density functional theory for fermions close to the unitary regime
• Dynamical Cluster Quantum Monte Carlo Study of the Single Particle Spectra of Strongly Interacting Fermion Gases
• Universal scaling in a trapped Fermi super-fluid in the BCS-unitarity crossover
• From resonantly interacting fermions with effective range to neutron matter
• Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity
• Ground state energy of unitary fermion gas with the Thomson Problem approach
• BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
• Collective excitations of a trapped Fermi gas at finite temperature
• Collective oscillations of a Fermi gas near a Feshbach resonance
• Collective Excitations of Trapped Imbalanced Fermion Gases
• Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Hydrodynamic Modes in a Trapped Strongly Interacting Fermi Gases of Atoms
• Low-momentum ring diagrams of neutron matter at and near the unitary limit
• Unitarity potentials and neutron matter at the unitary limit
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
• Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length
• Effective theory of excitations in a Feshbach resonant superfluid
• Dynamic structure factor of Fermi superfluid in the BEC-BCS crossover
• Density response of a trapped Fermi gas: a crossover from the pair vibration mode to the Goldstone mode
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• On the specific heat of a fermionic atomic cloud in the unitary regime
• Universal contact and collective excitations of a strongly interacting Fermi gas
• Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region
• Hydrodynamic collective modes for cold trapped gases
• Odd-parity effect and scale-dependent viscosity in atomic quantum gases
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Unitary limit and linear scaling of neutrons in harmonic trap with tuned CD-Bonn and square-well interactions
• Collective excitations of trapped Fermi or Bose gases
• Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory
• Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps