Quantum critical transport in the unitary Fermi gas
arXiv:1204.1980 · doi:10.1103/PhysRevA.86.013616
Abstract
The thermodynamic and transport properties of the unitary Fermi gas at finite temperature T are governed by a quantum critical point at T=0 and zero density. We compute the universal shear viscosity to entropy ratio η/s in the high-temperature quantum critical regime T>>|μ| and find that this strongly coupled quantum fluid comes close to perfect fluidity η/s=\hbar/(4πk_B). Using a controlled large-N expansion we show that already at the first non-trivial order the equation of state and the Tan contact density C agree well with the most recent experimental measurements and theoretical Luttinger-Ward and Bold Diagrammatic Monte Carlo calculations.
arXiv comment9 pages, 1 figure
References in corpus (37)
- Many-Body Physics with Ultracold Gases
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Theory of ultracold Fermi gases
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
- Large momentum part of fermions with large scattering length
- Energetics of a strongly correlated Fermi gas
- Exploring the Thermodynamics of a Universal Fermi Gas
- The Unitary Fermi Gas: From Monte Carlo to Density Functionals
- Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
- Attractive and repulsive Fermi polarons in two dimensions
- Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
- Thermodynamics of the BCS-BEC crossover
- Universal Quantum Viscosity in a Unitary Fermi Gas
- Non-zero temperature transport near quantum critical points
- Observation of pseudogap behavior in a strongly interacting Fermi gas
- Feynman diagrams versus Fermi-gas Feynman emulator
- Spectral Functions and rf Response of Ultracold Fermionic Atoms
- Renormalization group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit
- Viscosity and scale invariance in the unitary Fermi gas
- Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
- Fermi polarons in two dimensions
- Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
- Viscosity of strongly interacting quantum fluids: spectral functions and sum rules
- Large-N expansion for unitary superfluid Fermi gases
- Shear viscosity and damping for a Fermi gas in the unitarity limit
- Fermi gas near unitarity around four and two spatial dimensions
- Temperature dependence of the contact in a unitary Fermi gas
- Viscosity and Thermal Relaxation for a resonantly interacting Fermi gas
- Onset of a Pseudogap Regime in Ultracold Fermi Gases
- Temperature and coupling dependence of the universal contact intensity for an ultracold Fermi gas
- Universal Fermi Gas with Two- and Three-Body Resonances
- Efimov effect from functional renormalization
- Searching for Perfect Fluids: Quantum Viscosity in a Universal Fermi Gas
- The Equation of State of the Unitary Fermi Gas: An Update on Lattice Calculations
- Shear viscosity and spin diffusion in a two-dimensional Fermi gas
- Viscosity spectral functions of the dilute Fermi gas in kinetic theory
Cited by in corpus (41)
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Field-theoretical study of the Bose polaron
- Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
- Bose polarons near quantum criticality
- Boiling a Unitary Fermi Liquid
- Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
- Transverse Demagnetization Dynamics of a Unitary Fermi Gas
- Spectral response and contact of the unitary Fermi gas
- Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
- Universal Sound Diffusion in a Strongly Interacting Fermi Gas
- Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
- Observation of the Leggett-Rice effect in a unitary Fermi gas
- Bulk viscosity and contact correlations in attractive Fermi gases
- Finite-temperature equation of state of polarized fermions at unitarity
- Shear viscosity and spin diffusion in a two-dimensional Fermi gas
- Finite temperature effective field theory and two-band superfluidity in Fermi gases
- Universal Spin Transport and Quantum Bounds for Unitary Fermions
- Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization
- Universal phase diagram and scaling functions of imbalanced Fermi gases
- Zero-temperature equation of state of mass-imbalanced resonant Fermi gases
- Magic gap ratio for optimally robust fermionic condensation and its implications for high-Tc superconductivity
- Stoner ferromagnetism of a strongly interacting Fermi gas in the quasirepulsive regime
- Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
- Quantum critical thermal transport in the unitary Fermi gas
- Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover
- String-Theory-Based Predictions for Nonhydrodynamic Collective Modes in Strongly Interacting Fermi Gases
- Low-momentum dynamic structure factor of a strongly interacting Fermi gas at finite temperature: A two-fluid hydrodynamic description
- Transverse spin diffusion in strongly interacting Fermi gases
- Mesoscopic dynamics of fermionic cold atoms ---Quantitative analysis of transport coefficients and relaxation times---
- Second order fluid dynamics for the unitary Fermi gas from kinetic theory
- Shear viscosity and spin sum rules in strongly interacting Fermi gases
- Transport in p-wave interacting Fermi gases
- Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
- Nonlinear spin diffusion and spin rotation in a trapped Fermi gas
- Equation of state and contact of a strongly interacting Bose gas in the normal state
- Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
- Particle and pair spectra for strongly correlated Fermi gases: A real-frequency solver
- Relation connecting thermodynamics and transport of atomic unitary Fermi superfluids
- Shear Viscosity of Uniform Fermi Gases with Population Imbalance
- Finite Temperature Behaviors of q-deformed Fermi Gases
- Quantum transport in strongly correlated Fermi gases