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arXiv · 1101.4160

Rings and boxes in dissipative environments

Yoav Etzioni·Baruch Horovitz·Pierre Le Doussal
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Abstract

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 $η$ flows to a fixed point $η_R=η_c=\hbar/2π$. 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 $η$. For finite $η>η_c$ 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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Yoav Etzioni, Baruch Horovitz, Pierre Le Doussal. 2011-06-06. Rings and boxes in dissipative environments. https://doi.org/10.1103/physrevlett.106.166803

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