Rings and boxes in dissipative environments

Details Rings and boxes in dissipative environments Rings and boxes in dissipative environments

2011-01-21

arxiv.org/abs/1101.4160v2

Phys. Rev. Lett. 106, 166803 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure Minor changes in the text, a few references added

Scientific paper

We study a particle on a ring in presence of a dissipative Caldeira-Leggett environment and derive its response to a DC field. We find, through a 2-loop renormalization group analysis, that a large dissipation parameter $\eta$ flows to a fixed point $\eta_R=\eta_c=\hbar/2\pi$. We also reexamine the mapping of this problem to that of the Coulomb box and show that the relaxation resistance, of recent interest, is quantized for large $\eta$. For finite $\eta>\eta_c$ we find that a certain average of the relaxation resistance is quantized. We propose a box experiment to measure a quantized noise.

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