Time-Dependent Density-Functional Theory for Trapped Strongly-Interacting Fermionic Atoms

Abstract

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent density-functional theory. Our results are in good agreement with recent experimental data in the BCS-BEC crossover regime. It is also shown that the calculated corrections to the hydrodynamic approximation may be important even for systems with a rather large number of atoms.

Resubmitted to PRA in response to referee's comments. Abstract is changed. Added new figures

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Cited by in corpus (67)

• Theory of ultracold Fermi gases
• Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
• Bulk and Collective Properties of a Dilute Fermi Gas in the BCS-BEC Crossover
• Breakdown of Hydrodynamics in the Radial Breathing Mode of a Strongly-Interacting Fermi Gas
• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• Collective oscillations of a trapped Fermi gas near the unitary limit
• Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
• Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover
• Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas
• Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
• Bifurcations in Boltzmann-Langevin One Body dynamics for fermionic systems
• DC Josephson Effect with Fermi gases in the Bose-Einstein regime
• 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
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• 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
• Expansion of a Fermi Cloud in the BCS-BEC Crossover
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Fluctuations and Symmetry Energy in Nuclear Fragmentation Dynamics
• Two-fluid hydrodynamic modes in a trapped superfluid gas
• Photon-atomic solitons in a Bose-Einstein condensate trapped in a soft optical lattice
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Finite temperature effective field theory and two-band superfluidity in Fermi gases
• Collective Excitations of Strongly Interacting Fermi Gases of Atoms in a Harmonic Trap
• Supersonic and subsonic shock waves in the unitary Fermi gas
• Continuum Mechanics for Quantum Many-Body Systems: The Linear Response Regime
• Rotating quantum turbulence in the unitary Fermi gas
• Density functional theory for fermions close to the unitary regime
• Validating Simple Dynamical Simulations of the Unitary Fermi Gas
• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Linear Continuum Mechanics for Quantum Many-Body Systems
• Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
• Ground-state densities of repulsive two-component Fermi gases
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• Collective oscillations of a Fermi gas near a Feshbach resonance
• BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
• Surface Effects in the Unitary Fermi Gas
• Gradient corrections to the local density approximation for trapped superfluid Fermi gases
• Universal Aspects of Vortex Reconnections across the BCS-BEC Crossover
• Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
• Hydrodynamic Modes in a Trapped Strongly Interacting Fermi Gases of Atoms
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Interaction ramps in a trapped Bose condensate
• Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity
• Density-functional theory of inhomogeneous electron systems in thin quantum wires
• One- and two-dimensional reductions of the mean-field description of degenerate Fermi gases
• Quenched dynamics of the momentum distribution of the unitary Bose gas
• Dynamic structure factor of Fermi superfluid in the BEC-BCS crossover
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
• On the specific heat of a fermionic atomic cloud in the unitary regime
• Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region
• Hydrodynamic collective modes for cold trapped gases
• On the kinetic energy of unitary Fermi gas in a harmonic trap
• Dynamics of shock waves in a superfluid unitary Fermi gas
• Crow instability in unitary Fermi gas
• Tan's universal contact and collective oscillations of strongly interacting Fermi gases
• Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
• Collective excitations of trapped Fermi or Bose gases
• Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
• Violent Nuclear Reactions: Large-Amplitude Nuclear Dynamic Phenomena in Fermionic Systems
• Generation of vortex dipoles in superfluid Fermi gas in BCS limit