Anisotropic Spin Diffusion in Trapped Boltzmann Gases

Details Anisotropic Spin Diffusion in Trapped Boltzmann Gases Anisotropic Spin Diffusion in Trapped Boltzmann Gases

2004-01-08

arxiv.org/abs/cond-mat/0401123v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures; submitted to PRL

Scientific paper

10.1007/s10909-005-2291-2

Recent experiments in a mixture of two hyperfine states of trapped Bose gases show behavior analogous to a spin-1/2 system, including transverse spin waves and other familiar Leggett-Rice-type effects. We have derived the kinetic equations applicable to these systems, including the spin dependence of interparticle interactions in the collision integral, and have solved for spin-wave frequencies and longitudinal and transverse diffusion constants in the Boltzmann limit. We find that, while the transverse and longitudinal collision times for trapped Fermi gases are identical, the Bose gas shows diffusion anisotropy. Moreover, the lack of spin isotropy in the interactions leads to the non-conservation of transverse spin, which in turn has novel effects on the hydrodynamic modes.

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