Universality classes of quantum chaotic dissipative systems
Universality classes of quantum chaotic dissipative systems
复制标题
量子混沌耗散系统的普遍性类
DOI：
10.1209/0295-5075/127/30004
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
R. Prakash
中科院分区：
文献类型：
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作者：
Ambuja Bhushan Jaiswal;A. Pandey;R. Prakash
我们研究复对称矩阵的系综。该系综可用于研究耗散对具有时间反演不变性的系统的影响。我们考虑最近邻间距分布和间距比来研究涨落统计，并表明这些统计与具有时间反演不变性的耗散混沌系统的统计相似。我们发现，不同于立方排斥的Ginibre矩阵的特征值，这个合奏表现出较弱的排斥。最近邻间距分布表现为小间距。我们验证了我们的结果与时间反演不变性的量子踢转子。我们发现，转子具有相似的间距分布在耗散制度。我们还讨论了一个随机矩阵模型的过渡，从时间反演不变的情况下，破碎。
We study the ensemble of complex symmetric matrices. The ensemble is useful in the study of the effect of dissipation on systems with time-reversal invariance. We consider the nearest-neighbor spacing distribution and spacing ratio to investigate the fluctuation statistics and show that these statistics are similar to that of dissipative chaotic systems with time-reversal invariance. We show that, unlike cubic repulsion in eigenvalues of Ginibre matrices, this ensemble exhibits a weaker repulsion. The nearest-neighbor spacing distribution exhibits for small spacings. We verify our results for quantum kicked rotor with time-reversal invariance. We show that the rotor exhibits similar spacing distribution in dissipative regime. We also discuss a random matrix model for transition from the time-reversal invariant to the broken case.