Universality in spectral statistics of open quantum graphs.
Universality in spectral statistics of open quantum graphs.
复制标题
开放量子图谱统计的普遍性
DOI：
10.1103/physreve.91.060901
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
V.Al. Osipov
中科院分区：
文献类型：
--
作者：
B. Gutkin;V.Al. Osipov
封闭混沌量子图的量子演化映射是酉的，并且已知具有与随机矩阵理论的预测相匹配的普适谱相关性。在具有吸收的混沌图中，量子映射变得非幺正。我们表明，他们的光谱统计表现出普遍性的软边缘的频谱。在许多经典的具有旋转不变测度的随机矩阵的非酉系综中也观察到了同样的谱行为。
The quantum evolution maps of closed chaotic quantum graphs are unitary and known to have universal spectral correlations matching predictions of random matrix theory. In chaotic graphs with absorption the quantum maps become nonunitary. We show that their spectral statistics exhibit universality at the soft edges of the spectrum. The same spectral behavior is observed in many classical nonunitary ensembles of random matrices with rotationally invariant measures.