Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover

Abstract

We show that the study of the collective oscillations in a harmonic trap provides a very sensitive test of the equation of state of a Fermi gas near a Feshbach resonance. Using a scaling approach, whose high accuracy is proven by comparison with exact hydrodynamic solutions, the frequencies of the lowest compressional modes are calculated at T=0 in terms of a dimensionless parameter characterizing the equation of state. The predictions for the collective frequencies, obtained from the equations of state of mean field BCS theory and of recent Monte-Carlo calculations, are discussed in detail.

4 pages, 3 figures

References in corpus (4)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Weakly bound dimers of fermionic atoms
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover

Cited by in corpus (40)

• Theory of ultracold Fermi gases
• Quantum Fluctuations in Dipolar Bose Gases
• Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
• Number of closed-channel molecules in the BEC-BCS crossover
• Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
• Strongly correlated Bose gases
• 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
• Local density approximation for a perturbative equation of state
• Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
• First and second sound in a highly elongated Fermi gas at unitarity
• Faraday waves in quasi-one-dimensional superfluid Fermi-Bose mixtures
• Dressed Feshbach molecules in the BEC-BCS crossover
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Density functional theory for fermions close to the unitary regime
• Superfluid equation of state of dilute composite bosons
• First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC
• Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
• 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 oscillations of a Fermi gas near a Feshbach resonance
• Bogoliubov theory of Feshbach molecules in the BEC-BCS crossover
• Breathing modes of a fast rotating Fermi gas
• Exactly Stable Collective Oscillations in Conformal Field Theory
• Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity
• A new many-body wave function for BCS-BEC crossover in Fermi gases
• Second sound with ultracold atoms: A brief historical account
• Superfluid equation of state of cold fermionic gases in the Bose-Einstein regime
• Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length
• Dynamic structure factor of Fermi superfluid in the BEC-BCS crossover
• Oscillatory-like Expansion of a Fermionic Superfluid
• The Non-universal behaviour of Cold Fermi Condensates with Narrow Feshbach Resonances
• Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
• 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
• Novel soliton in dipolar BEC caused by the quantum fluctuations
• Cornwall-Jackiw-Tomboulis effective field theory to nonuniversal equation of state of an ultracold Bose gas
• Collective excitations of trapped Fermi or Bose gases
• Breathing dynamics of the Bose polaron in a species-selective harmonic trap