Shear viscosity and damping of collective modes in a two-dimensional Fermi gas

Abstract

We compute the shear viscosity of a two dimensional Fermi gas interacting via a short range potential with scattering length $a_{2d}$ in kinetic theory. We find that kinetic theory predicts that the shear viscosity to entropy density ratio of a strongly interacting two dimensional gas is comparable to that of the three dimensional unitary gas. We use our results to compute the damping of collective modes in a trapped Fermi gas, and compare to experimental data recently obtained in E. Vogt et al., arXiv:1111.1173.

12 pages, 2 figures; text revised, corrected error in data for <α> and incorrect value for N in theory vs data plot

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Observation of a pairing pseudogap in a two-dimensional Fermi gas
• Viscosity and scale invariance in the unitary Fermi gas
• Scale invariance and viscosity of a two-dimensional Fermi gas
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Frequency and damping of the Scissors Mode of a Fermi gas
• Microscopic Approach to Shear Viscosities in Superfluid Gases: From BCS to BEC
• Conformal symmetry and non-relativistic second order fluid dynamics
• Viscosity of a two-dimensional Fermi liquid

Cited by in corpus (27)

• Universal Quantum Viscosity in a Unitary Fermi Gas
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Sound propagation and quantum limited damping in a two-dimensional Fermi gas
• Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
• Scale breaking and fluid dynamics in a dilute two-dimensional Fermi gas
• Dynamical generation of spin squeezing in ultra-cold dipolar molecules
• 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
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas
• Collective modes of a two-dimensional spin-1/2 Fermi gas in a harmonic trap
• Lattice Boltzmann simulations of a two-dimensional Fermi gas at unitarity
• Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
• Transverse spin diffusion in strongly interacting Fermi gases
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Bulk viscosity of resonating fermions revisited: Kubo formula, sum rule, and the dimer and high-temperature limits
• Damping of the quadrupole mode in a two-dimensional Fermi gas
• Spin relaxation in ultracold spin-orbit coupled ${}^{40}$K gas
• Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
• Microscopic derivation of the Boltzmann equation for transport coefficients of resonating fermions at high temperature
• Viscosity spectral function of a scale invariant non-relativistic fluid from holography
• Higher-Harmonic Collective Modes in a Trapped Gas from Second-Order Hydrodynamics
• Viscosity of a Multi-channel One-Dimensional Fermi Gas
• Odd-parity effect and scale-dependent viscosity in atomic quantum gases
• Thermal dissipation in two dimensional relativistic Fermi gases with a relaxation time model
• A fast spectral method for the Uehling-Uhlenbeck equation for quantum gas mixtures: homogeneous relaxation and transport coefficients
• Strongly Interacting Fermi Gases: Hydrodynamics and Beyond
• Shear Viscosity in the Strong Interaction Regime of a p-wave Superfluid Fermi Gas