Universality in the flooding of regular islands by chaotic states.
Universality in the flooding of regular islands by chaotic states.
复制标题
混乱国家淹没普通岛屿的普遍性。
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
A. Monastra
中科院分区：
文献类型：
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作者：
A. Bäcker;R. Ketzmerick;A. Monastra
我们研究了混合相空间系统的本征态结构及其在单个正则环面上的投影。根据动态隧穿速率和海森堡时间，规则态消失，混沌态充斥规则环面。为了定量理解，我们引入了一个随机矩阵模型。本征态的统计特性作为有效耦合强度的函数与踢系统的数值结果非常吻合。我们讨论了这些结果对半经典特征函数假设的适用性的意义。
We investigate the structure of eigenstates in systems with a mixed phase space in terms of their projection onto individual regular tori. Depending on dynamical tunneling rates and the Heisenberg time, regular states disappear and chaotic states flood the regular tori. For a quantitative understanding we introduce a random matrix model. The resulting statistical properties of eigenstates as a function of an effective coupling strength are in very good agreement with numerical results for a kicked system. We discuss the implications of these results for the applicability of the semiclassical eigenfunction hypothesis.