耗散环境中的环和盒
Rings and boxes in dissipative environments
摘要：
我们研究了存在耗散的Caldeira-Leggett环境的环上的粒子，并推导出其对直流场的响应。我们发现，通过一个2圈重整化群分析，一个大的耗散参数$η$流到一个固定点$η_R=η_c=\hbar/2π$。我们还重新审视这个问题的库仑盒的映射，并表明，最近的兴趣，弛豫电阻，量化大$η$。对于有限的$η>η_c$，我们发现，一定的平均值的弛豫电阻是量化的。我们提出了一个盒子实验来测量量化的噪声。
英文摘要：
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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