Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment

Details Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment

2011-04-08

arxiv.org/abs/1104.1637v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, submitted to EPL

Scientific paper

We study zero temperature spin dynamics of a particle confined to a ring in presence of spin orbit coupling and Ohmic electromagnetic fluctuations. We show that the dynamics of the angular position $\theta(t)$ are decoupled from the spin dynamics and that the latter is mapped to certain correlations of a spinless particle. We find that the spin correlations in the $z$ direction (perpendicular to the ring) are finite at long times, i.e. do not dephase. The parallel (in plane) components for spin $\half$ do not dephase at weak dissipation but they probably decay as a power law with time at strong dissipation.

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