Dynamical properties of the unitary Fermi gas: collective modes and shock waves
arXiv:1204.1659 · doi:10.1007/s00601-012-0442-y
Abstract
We discuss the unitary Fermi gas made of dilute and ultracold atoms with an infinite s-wave inter-atomic scattering length. First we introduce an efficient Thomas-Fermi-von Weizsacker density functional which describes accurately various static properties of the unitary Fermi gas trapped by an external potential. Then, the sound velocity and the collective frequencies of oscillations in a harmonic trap are derived from extended superfluid hydrodynamic equations which are the Euler-Lagrange equations of a Thomas-Fermi-von Weizsacker action functional. Finally, we show that this amazing Fermi gas supports supersonic and subsonic shock waves.
arXiv comment9 pages, 3 figures, invited talk at the International Workshop "Critical Stability 2011" (Erice, October 2011), to be published in the journal Few Body Systems
References in corpus (39)
- Theory of ultracold Fermi gases
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
- Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
- Bulk and Collective Properties of a Dilute Fermi Gas in the BCS-BEC Crossover
- Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
- Time-Dependent Density-Functional Theory for Trapped Strongly-Interacting Fermionic Atoms
- Universal properties of a trapped two-component Fermi gas at unitarity
- Superfluid Bose-Fermi mixture from weak-coupling to unitarity
- Observation of shock waves in a strongly interacting Fermi gas
- Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas
- The Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid
- Unitary Fermi Gas in a Harmonic Trap
- Oscillation Frequencies for a Bose Condensate in a Triaxial Magnetic Trap
- BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
- Thermodynamics of a Trapped Unitary Fermi Gas
- DC Josephson Effect with Fermi gases in the Bose-Einstein regime
- Density-functional theory for fermions in the unitary regime
- Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
- Searching for Perfect Fluids: Quantum Viscosity in a Universal Fermi Gas
- Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
- Expansion of a Fermi Cloud in the BCS-BEC Crossover
- Time-Dependent Variational Approach to Bose-Einstein Condensation
- Bulk viscosities for cold Fermi superfluids close to the unitary limit
- Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation
- Supersonic and subsonic shock waves in the unitary Fermi gas
- Density functional theory for fermions close to the unitary regime
- Universal scaling in a trapped Fermi super-fluid in the BCS-unitarity crossover
- Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
- Theory of the Normal/Superfluid interface in population imbalanced Fermi gases
- Pair excitations and parameters of state of imbalanced Fermi gases at finite temperatures
- Surface Effects in the Unitary Fermi Gas
- Collapse of triaxial bright solitons in atomic Bose-Einstein condensates
- Viscosity-entropy ratio of the unitary Fermi gas from zero-temperature elementary excitations
- Gradient corrections to the local density approximation for trapped superfluid Fermi gases
- Surface Energy in Cold Asymmetrical Fermion Superfluids
- Effective Lagrangian of unitary Fermi gas from expansion
Cited by in corpus (7)
- Shock waves in dispersive Eulerian fluids
- Validating Simple Dynamical Simulations of the Unitary Fermi Gas
- Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
- Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
- Shock waves in a quasi one-dimensional Bose-Einstein condensate
- Dynamics of shock waves in a superfluid unitary Fermi gas
- Extreme dynamics and relaxation of quantum gases: A hydrodynamic approach