Spin Drag of a Fermi Gas in a Harmonic Trap

O. Goulko, F. Chevy, and C. Lobo
Phys. Rev. Lett. 111, 190402 – Published 4 November 2013
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Abstract

Using a Boltzmann equation approach, we analyze how the spin drag of a trapped interacting fermionic mixture is influenced by the nonhomogeneity 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.

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  • Received 23 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.190402

© 2013 American Physical Society

Authors & Affiliations

O. Goulko1, F. Chevy2, and C. Lobo3

  • 1Physics Department, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 Munich, Germany
  • 2Laboratoire Kastler Brossel, CNRS, UPMC, École Normale Supérieure, 24 rue Lhomond, 75231 Paris, France
  • 3School of Mathematics, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom

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Issue

Vol. 111, Iss. 19 — 8 November 2013

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