Decoherence of a particle in a ring

Details Decoherence of a particle in a ring Decoherence of a particle in a ring

2007-07-13

arxiv.org/abs/0707.1993v2

Europhysics Letters 81, 30001 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure, proofed version to be published in EPL

Scientific paper

10.1209/0295-5075/81/30001

We consider a particle coupled to a dissipative environment and derive a perturbative formula for the dephasing rate based on the purity of the reduced probability matrix. We apply this formula to the problem of a particle on a ring, that interacts with a dirty metal environment. At low but finite temperatures we find a dephasing rate $\propto T^{3/2}$, and identify dephasing lengths for large and for small rings. These findings shed light on recent Monte Carlo data regarding the effective mass of the particle. At zero temperature we find that spatial fluctuations suppress the possibility of having a power law decay of coherence.

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