Shear viscosity of a superfluid Fermi gas in the unitarity limit

Abstract

We compute the shear viscosity of a superfluid atomic Fermi gas in the unitarity limit. The unitarity limit is characterized by a divergent scattering length between the atoms, and it has been argued that this will result in a very small viscosity. We show that in the low temperature T limit the shear viscosity scales as xi^5/T^5, where the universal parameter 'xi' relates the chemical potential and the Fermi energy, mu=xi E_F. Combined with the high temperature expansions of the viscosity our results suggest that the viscosity has a minimum near the critical temperature T_c. A naive extrapolation indicates that the minimum value of the ratio of viscosity over entropy density is within a factor of ~ 5 of the proposed lower bound hbar/(4πk_B).

arXiv comment9 pages, 7 figures, LaTeX2e

References in corpus (28)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Creation of ultracold molecules from a Fermi gas of atoms
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Superfluid Fermi Gases with Large Scattering Length
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• Asymmetric Two-component Fermion Systems in Strong Coupling
• Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Quantum Monte Carlo Studies of Superfluid Fermi Gases
• Epsilon expansion for a Fermi gas at infinite scattering length
• Decay of an ultracold fermionic lithium gas near a Feshbach resonance
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Mechanical Stability of a Strongly-Interacting Fermi Gas of Atoms
• Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Is there a "most perfect fluid" consistent with quantum field theory?
• Viscosity and Thermal Relaxation for a resonantly interacting Fermi gas
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• A lattice theory for low energy fermions at finite chemical potential
• Ground state energy of spin-1/2 fermions in the unitary limit
• Shear Viscosity in a CFL Quark Star
• Pion gas viscosity at low temperature and density
• On the violation of the holographic viscosity versus entropy KSS bound in non relativistic systems

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• Many-Body Physics with Ultracold Gases
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Viscosity and scale invariance in the unitary Fermi gas
• Viscosity bound violation in holographic solids and the viscoelastic response
• Observation of shock waves in a strongly interacting Fermi gas
• Universal Sound Diffusion in a Strongly Interacting Fermi Gas
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• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Observation of conformal symmetry breaking and scale invariance in expanding Fermi gases
• Bulk Viscosity of a Gas of Massless Pions
• Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
• Thermal Conductivity and Sound Attenuation in Dilute Atomic Fermi Gases
• The strongly coupled quark-gluon plasma created at RHIC
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• Hydrodynamics of cold atomic gases in the limit of weak nonlinearity, dispersion and dissipation
• Shear Viscosity of a Unitary Fermi Gas
• Bulk viscosities for cold Fermi superfluids close to the unitary limit
• Life Cycle of Superfluid Vortices and Quantum Turbulence in the Unitary 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
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas
• Transport coefficients of two-flavor superconducting quark matter
• Perfect Fluids and Bad Metals: Transport Analogies Between Ultracold Fermi Gases and High $T_c$ Superconductors
• The temperature evolution of the shear viscosity in a unitary Fermi gas
• Effect of spectral modification of $\rho$ on shear viscosity of a pion gas
• Implications of hydrodynamic fluctuations on the minimum shear viscosity of the dilute Fermi gas at unitarity
• The axial anomaly and the phases of dense QCD
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation
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• Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity
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• Is an Ultra-Cold Strongly Interacting Fermi Gas a Perfect Fluid?
• Perfect-fluid behavior of a dilute Fermi gas near unitary
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• Low-momentum dynamic structure factor of a strongly interacting Fermi gas at finite temperature: A two-fluid hydrodynamic description
• Viscosity spectral functions of the dilute Fermi gas in kinetic theory
• The status of the KSS bound and its possible violations (How perfect can a fluid be?)
• The Shear Viscosity in an Anisotropic Unitary Fermi Gas
• Viscosity-entropy ratio of the unitary Fermi gas from zero-temperature elementary excitations
• The r-mode instability in strange stars with a crystalline crust
• Mesoscopic dynamics of fermionic cold atoms ---Quantitative analysis of transport coefficients and relaxation times---
• Phonon contribution to the shear viscosity of a superfluid Fermi gas in the unitarity limit
• Establishing Conservation Laws in Pair Correlated Many Body theories: T matrix Approaches
• On the viscosity to entropy density ratio for unitary Bose and Fermi Gases
• Constraining phases of quark matter with studies of r-mode damping in neutron stars
• Second order fluid dynamics for the unitary Fermi gas from kinetic theory
• The shear viscosity of two-flavor crystalline color superconducting quark matter
• Exploring the shear viscosity in four-dimensional planar black holes beyond General Relativity
• An AdS/CFT Connection between Boltzmann and Einstein
• Shear viscosity and Strong-Coupling Corrections in the BCS-BEC crossover Regime of an Ultracold Fermi Gas
• S-matrix approach to quantum gases in the unitary limit II: the three-dimensional case
• Energy absorption spectroscopy of unitary Fermi gases in a uniform potential
• Viscosity bound for anisotropic superfluids with dark matter sector
• Transport in p-wave interacting Fermi gases
• Viscosity spectral function of a scale invariant non-relativistic fluid from holography
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• Viscosity Bound Violation in Viscoelastic Fermi Liquids
• S-matrix approach to quantum gases in the unitary limit I: the two-dimensional case
• From Thermodynamics to the Bound on Viscosity
• Transport properties of superfluid phonons in neutron stars
• Shear viscosity in antikaon condensed matter
• Conserving Approximation of Pairing theories in Fermionic superfluid phase
• Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
• Accelerating analysis of Boltzmann equations using Gaussian mixture models: Application to quantum Bose-Fermi mixtures
• Dispersion of first sound in a weakly interacting ultracold Fermi liquid
• Dissipative superfluid hydrodynamics for the unitary Fermi gas
• Viscosity bound versus the universal relaxation bound
• Kovtun-Son-Starinets Conjecture and Effects of Mass Imbalance in the Normal State of an Ultracold Fermi Gas in the BCS-BEC Crossover Region
• Quasiclassical molecular dynamics for the dilute Fermi gas at unitarity
• From Equilibrium to Transport Properties of Strongly Correlated Fermi Liquids
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• Shear Viscosity in the Strong Interaction Regime of a p-wave Superfluid Fermi Gas
• Thermal and transport properties of a non-relativistic quantum gas interacting through a delta-shell potential