Viscosity and Thermal Relaxation for a resonantly interacting Fermi gas

Abstract

The viscous and thermal relaxation rates of an interacting fermion gas are calculated as functions of temperature and scattering length, using a many-body scattering matrix which incorporates medium effects due to Fermi blocking of intermediate states. These effects are demonstrated to be large close to the transition temperature $T_c$ to the superfluid state. For a homogeneous gas in the unitarity limit, the relaxation rates are increased by nearly an order of magnitude compared to their value obtained in the absence of medium effects due to the Cooper instability at $T_c$. For trapped gases the corresponding ratio is found to be about three due to the averaging over the inhomogeneous density distribution. The effect of superfluidity below $T_c$ is considered to leading order in the ratio between the energy gap and the transition temperature.

arXiv comment7 pages, 3 figures

References in corpus (10)

• Tuning p-wave interactions in an ultracold Fermi gas of atoms
• Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
• The hot non-perturbative gluon plasma is an almost ideal colored liquid
• BCS-BEC crossover at finite temperature for superfluid trapped Fermi atoms
• Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
• Resonance theory of the crossover from Bardeen-Cooper-Schrieffer superfluidity to Bose-Einstein condensation in a dilute Fermi gas
• An effective theory of Feshbach resonances and many-body properties of Fermi gases
• Two-component Fermi gas with a resonant interaction
• Multi-channel scattering and Feshbach resonances: Effective theory, phenomenology, and many-body effects
• Comparison between a diagrammatic theory for the BCS-BEC crossover and Quantum Monte Carlo results

Cited by in corpus (66)

• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Viscosity and scale invariance in the unitary Fermi gas
• Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Collective oscillations of a Fermi gas in the unitarity limit: Temperature effects and the role of pair correlations
• Universal Sound Diffusion in a Strongly Interacting Fermi Gas
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Anomalous minimum in the shear viscosity of a Fermi gas
• Twin peaks in rf spectra of Fermi gases at unitarity
• Thermal Conductivity and Sound Attenuation in Dilute Atomic Fermi Gases
• Frequency and damping of the Scissors Mode of a Fermi gas
• Spin diffusion in Fermi gases
• Quantum critical transport in the unitary Fermi gas
• Landauer, Kubo, and microcanonical approaches to quantum transport and noise: A comparison and implications for cold-atom dynamics
• Shear Viscosity of a Unitary Fermi Gas
• High-temperature expansion of the viscosity in interacting quantum gases
• Model-independent determination of the shear viscosity of a trapped unitary Fermi gas: Application to high temperature data
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Anisotropic fluid dynamics
• Sound modes at the BCS-BEC crossover
• Viscosity spectral functions of resonating fermions in the quantum virial expansion
• Shear viscosity and spin diffusion coefficient of a two-dimensional Fermi gas
• Microscopic Approach to Shear Viscosities in Superfluid Gases: From BCS to BEC
• Determination of the density and temperature dependence of the shear viscosity of a unitary Fermi gas based on hydrodynamic flow
• Anisotropic relaxation dynamics in a dipolar Fermi gas driven out of equilibrium
• Shear viscosity and damping of collective modes in a two-dimensional Fermi gas
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas
• Perfect Fluids and Bad Metals: Transport Analogies Between Ultracold Fermi Gases and High $T_c$ Superconductors
• High Frequency Sound in a Unitary Fermi Gas
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation
• Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity
• Role of fourth-order phase-space moments in collective modes of trapped Fermi gases
• Numerical solution of the Boltzmann equation for trapped Fermi gases with in-medium effects
• Perfect-fluid behavior of a dilute Fermi gas near unitary
• Spin-Seebeck effect in a strongly interacting Fermi gas
• The Shear Viscosity in an Anisotropic Unitary Fermi Gas
• Viscosity-entropy ratio of the unitary Fermi gas from zero-temperature elementary excitations
• Viscosity spectral functions of the dilute Fermi gas in kinetic theory
• Collective mode damping and viscosity in a 1D unitary Fermi gas
• Zero and First Sound in Normal Fermi Systems
• Spin transport in a unitary Fermi gas close to the BCS transition
• Mesoscopic dynamics of fermionic cold atoms ---Quantitative analysis of transport coefficients and relaxation times---
• Bulk viscosity of resonating fermions revisited: Kubo formula, sum rule, and the dimer and high-temperature limits
• Second order fluid dynamics for the unitary Fermi gas from kinetic theory
• Medium effects and the shear viscosity of the dilute Fermi gas away from the conformal limit
• Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics
• Shear viscosity and Strong-Coupling Corrections in the BCS-BEC crossover Regime of an Ultracold Fermi Gas
• Dynamic Structure Factor of Normal Fermi Gas from Collisionless to Hydrodynamic Regime
• Quasiparticle scattering rate in a strongly polarised Fermi mixture
• Transport in p-wave interacting Fermi gases
• Feshbach Resonances and Medium Effects in ultracold atomic Gases
• Microscopic derivation of the Boltzmann equation for transport coefficients of resonating fermions at high temperature
• Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
• Viscosity spectral function of a scale invariant non-relativistic fluid from holography
• Bulk viscosity of resonantly interacting fermions in the quantum virial expansion
• Emergence of Sound in a Tunable Fermi Fluid
• Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas
• Kovtun-Son-Starinets Conjecture and Effects of Mass Imbalance in the Normal State of an Ultracold Fermi Gas in the BCS-BEC Crossover Region
• Dissipative superfluid hydrodynamics for the unitary Fermi gas
• Collective excitations of trapped Fermi or Bose gases
• Quasiclassical molecular dynamics for the dilute Fermi gas at unitarity
• Quantum transport in strongly correlated Fermi gases
• Extreme dynamics and relaxation of quantum gases: A hydrodynamic approach
• Thermal and transport properties of a non-relativistic quantum gas interacting through a delta-shell potential