论文标题
多重共振状态的通用强度统计
Universal intensity statistics of multifractal resonance states
论文作者
论文摘要
我们猜想，在具有共振状态的强度统计的混乱量子系统中，普遍遵循指数分布。这需要按多重平均强度进行缩放，该强度取决于系统和共振状态的衰减速率。我们通过研究相混沌标准图，贝克图和一个随机矩阵模型的相互共振状态的相位空间函数以及每个矩阵模型的位置表示来支持猜想。
We conjecture that in chaotic quantum systems with escape the intensity statistics for resonance states universally follows an exponential distribution. This requires a scaling by the multifractal mean intensity which depends on the system and the decay rate of the resonance state. We numerically support the conjecture by studying the phase-space Husimi function and the position representation of resonance states of the chaotic standard map, the baker map, and a random matrix model, each with partial escape.
