Spin Drag of a Fermi Gas in a Harmonic Trap

Abstract

Using a Boltzmann equation approach, we analyze how the spin drag of a trapped interacting fermionic mixture is influenced by the non-homogeneity of the system in a classical regime where the temperature is much larger than the Fermi temperature. We show that for very elongated geometries, the spin damping rate can be related to the spin conductance of an infinitely long cylinder. We characterize analytically the spin conductance both in the hydrodynamic and collisionless limits and discuss the influence of the velocity profile. Our results are in good agreement with recent experiments and provide a quantitative benchmark for further studies of spin drag in ultracold gases.

5 pages, 3 figures, supplemental materials

References in corpus (6)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
• Spin diffusion in Fermi gases
• Heat and spin transport in a cold atomic Fermi gas
• Spin-Seebeck effect in a strongly interacting Fermi gas

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• Dynamics of interacting fermions in spin-dependent potentials
• Demagnetization dynamics of non-interacting trapped fermions
• Spin drag and fast response in a quantum mixture of atomic gases
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
• Spin diffusion in ultracold spin-orbit coupled ${}^{40}$K gas