Spin diffusion in Fermi gases

Abstract

We examine spin diffusion in a two-component homogeneous Fermi gas in the normal phase. Using a variational approach, analytical results are presented for the spin diffusion coefficient and the related spin relaxation time as a function of temperature and interaction strength. For low temperatures, strong correlation effects are included through the Landau parameters which we extract from Monte Carlo results. We show that the spin diffusion coefficient has a minimum for a temperature somewhat below the Fermi temperature with a value that approaches the quantum limit $\sim \hslash /m$ in the unitarity regime where $m$ is the particle mass. We finally derive a value for the low temperature shear viscosity in the normal phase from the Landau parameters.

9 pages, 3 figures

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• Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
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• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Cooper pairing above the critical temperature in a unitary Fermi gas
• Sound propagation and quantum limited damping in a two-dimensional Fermi gas
• Observation of the Leggett-Rice effect in a unitary Fermi gas
• Searching for Perfect Fluids: Quantum Viscosity in a Universal Fermi Gas
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• Universal Spin Transport and Quantum Bounds for Unitary Fermions
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• Dynamics of interacting fermions in spin-dependent potentials
• Heat and spin transport in a cold atomic Fermi gas
• Spin diffusion in trapped clouds of strongly interacting cold atoms
• Transverse spin diffusion in strongly interacting Fermi gases
• Spin Transport in Cold Fermi gases: A Pseudogap Interpretation of Spin Diffusion Experiments at Unitarity
• Spin-Seebeck effect in a strongly interacting Fermi gas
• Spin transport in a unitary Fermi gas close to the BCS transition
• Demagnetization dynamics of non-interacting trapped fermions
• Spin Drag of a Fermi Gas in a Harmonic Trap
• Spin Drag in Ultracold Fermi Mixtures with Repulsive Interactions
• Mean square displacement of a free quantum particle in a thermal state
• Nonlinear spin diffusion and spin rotation in a trapped Fermi gas
• Collisionless spin dynamics in a magnetic field gradient
• Spin diffusion in ultracold spin-orbit coupled ${}^{40}$K gas
• Viscosity Bound Violation in Viscoelastic Fermi Liquids
• Inhomogeneous spin diffusion in traps with cold atoms
• Density and spin modes in imbalanced normal Fermi gases from collisionless to hydrodynamic regime
• A generalized Theory of Diffusion based on Kinetic Theory
• Magnonic spin current shot noise in an itinerant Fermi gas
• Spin-heat relaxation and thermo-spin diffusion in atomic Bose and Fermi gases
• Spin diffusion of lattice fermions in one dimension
• Quasiclassical molecular dynamics for the dilute Fermi gas at unitarity
• Superfluid (Amplitude) Fluctuations Above $T_c$ in a Unitary Fermi Gas
• Exact perturbative expansion of the transport coefficients of a normal low-temperature Fermi gas with contact interactions
• Crossover from collisionless to collisional spin dynamics of polarized fermions
• Interaction effects on dynamic correlations in non-condensed Bose gases