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 (19)

• Many-Body Physics with Ultracold Gases
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• Observation of the Leggett-Rice effect in a unitary Fermi gas
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• Quantum critical transport in the unitary Fermi gas
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• Spin diffusion in trapped clouds of strongly interacting cold atoms
• Transverse spin diffusion in strongly interacting Fermi gases
• Spin Diffusion in Trapped Gases: Anisotropy in Dipole and Quadrupole Modes
• Leggett-Rice Systems in Harmonic Traps

Cited by in corpus (7)

• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Universal Spin Transport and Quantum Bounds for Unitary Fermions
• Dynamics of interacting fermions in spin-dependent potentials
• Spin diffusion in ultracold spin-orbit coupled ${}^{40}$K gas
• Ab initio materials physics and microscopic electrodynamics of media
• A generalized Theory of Diffusion based on Kinetic Theory
• Crossover from collisionless to collisional spin dynamics of polarized fermions