Induced vs. Spontaneous breakdown of S-matrix unitarity: Probability of no return in quantum chaotic and disordered systems
Induced vs. Spontaneous breakdown of S-matrix unitarity: Probability of no return in quantum chaotic and disordered systems
复制标题
S 矩阵幺正性的诱导击穿与自发击穿：量子混沌和无序系统中不返回的概率
DOI：
10.1134/1.1622041
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Y. Fyodorov
中科院分区：
文献类型：
--
作者：
Y. Fyodorov
我们系统地研究了无序系统中的波散射不返回给定入口通道的概率 τ 的样本间波动。对于时间反转不变性被破坏的零维（“量子混沌”）和准一维系统，我们推导出 τ 分布的显式公式并研究特定情况。最后，将 τ 与内部耗散引起的 S 矩阵幺正性破坏联系起来，我们使用相同的量将安德森离域转变识别为 S 矩阵幺正性自发破坏的现象。
We investigate systematically sample-to-sample fluctuations of the probability τ of no return into a given entrance channel for wave scattering from disordered systems. For zero-dimensional (“quantum chaotic”) and quasi-one-dimensional systems with broken time-reversal invariance, we derive explicit formulas for the distribution of τ and investigate particular cases. Finally, relating τ to violation of S-matrix unitarity induced by internal dissipation, we use the same quantity to identify the Anderson delocalization transition as the phenomenon of spontaneous breakdown of S-matrix unitarity.