Nonlinear spin diffusion and spin rotation in a trapped Fermi gas

Abstract

Transverse spin diffusion in a polarized, interacting Fermi gas leads to the Leggett-Rice effect, where the spin current precesses around the local magnetization. With a spin-echo sequence both the transverse diffusivity and the spin-rotation parameter $\gamma$ are obtained; the sign of $\gamma$ reveals the repulsive or attractive character of the effective interaction. In a trapped Fermi gas the spin diffusion equations become nonlinear, and their numerical solution exhibits an inhomogeneous spin state even at the spin echo time. While the microscopic diffusivity and $\gamma$ increase at weak coupling, their apparent values inferred from the trap-averaged magnetization saturate in agreement with a recent experiment for a dilute ultracold Fermi gas.

9 pages, 5 figures; published version

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Viscosity and scale invariance in the unitary Fermi gas
• Observation of Anomalous Spin Segregation in a Trapped Fermi Gas
• Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
• Observation of the Leggett-Rice effect in a unitary Fermi gas
• Spin diffusion in Fermi gases
• Quantum critical transport in the unitary Fermi gas
• Spin Diffusion in Trapped Gases: Anisotropy in Dipole and Quadrupole Modes

Cited by in corpus (3)

• Spin diffusion in ultracold spin-orbit coupled ${}^{40}$K gas
• A generalized Theory of Diffusion based on Kinetic Theory
• Crossover from collisionless to collisional spin dynamics of polarized fermions