Fractional-power-law level statistics due to dynamical tunneling.
Fractional-power-law level statistics due to dynamical tunneling.
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动态隧道效应带来的分数幂律级统计
DOI：
10.1103/physrevlett.106.024101
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发表时间：
2011
影响因子：
8.6
通讯作者：
N. Mertig
中科院分区：
文献类型：
--
作者：
A. Bäcker;R. Ketzmerick;S. Löck;N. Mertig
对于具有混合相空间的系统，我们证明了动力隧穿普遍导致在大范围的小间距上的电平间距分布的分数幂律。在Berry-Robnik统计之外，我们考虑到规则区域和混沌区域之间的动态隧穿率在许多数量级上变化。这就可以很好地描述标准地图的光谱数据。此外，我们还证明幂律指数与有效普朗克常数成正比。
For systems with a mixed phase space we demonstrate that dynamical tunneling universally leads to a fractional power law of the level-spacing distributionover a wide range of small spacings. Going beyond Berry-Robnik statistics, we take into account that dynamical tunneling rates between the regular and the chaotic region vary over many orders of magnitude. This results in a prediction ofwhich excellently describes the spectral data of the standard map. Moreover, we show that the power-law exponent is proportional to the effective Planck constant.