Signatures of classical diffusion in quantum fluctuations of two-dimensional chaotic systems.
Signatures of classical diffusion in quantum fluctuations of two-dimensional chaotic systems.
复制标题
二维混沌系统量子涨落中的经典扩散特征。
DOI：
10.1103/physreve.68.066215
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
T. Geisel
中科院分区：
文献类型：
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作者：
T. Kottos;A. Ossipov;T. Geisel
我们考虑了标准踢动转子的二维 (2D) 推广，并表明它是研究具有基础扩散经典动力学的 2D 量子系统普遍特征的优秀模型。首先，我们分析波函数强度的分布，并将其与扩散无序样本框架中得出的预测进行比较。接下来，我们通过构造散射矩阵将封闭系统变成开放系统。研究了谐振宽度 P(Gamma) 和维格纳延迟时间 P(tau(W)) 的分布。获得了不同对称类别的这些分布的形式，并识别了经典扩散动力学的痕迹。我们的理论论点得到了广泛的数值计算的支持。
We consider a two-dimensional (2D) generalization of the standard kicked rotor and show that it is an excellent model for the study of universal features of 2D quantum systems with underlying diffusive classical dynamics. First we analyze the distribution of wave-function intensities and compare them with the predictions derived in the framework of diffusive disordered samples. Next, we turn the closed system into an open one by constructing a scattering matrix. The distribution of the resonance widths P(Gamma) and Wigner delay times P(tau(W)) are investigated. The forms of these distributions are obtained for different symmetry classes and the traces of classical diffusive dynamics are identified. Our theoretical arguments are supported by extensive numerical calculations.