Pedrosa Juan M, Carlo Gabriel G, Wisniacki Diego A, Ermann Leonardo
Departamento de Física, CNEA, Av. Libertador 8250, C1429BNP Buenos Aires, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jan;79(1 Pt 2):016215. doi: 10.1103/PhysRevE.79.016215. Epub 2009 Jan 23.
We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum p direction of the 2-torus phase space, modeling an open chaotic cavity. We study briefly the classical forward trapped set and analyze the corresponding quantum nonunitary evolution operator. The distribution of eigenvalues depends strongly on the location of the escape region with respect to the central discontinuity of this map. This introduces new ingredients to the association among the classical escape and quantum decay rates. Finally, we could verify that the validity of the fractal Weyl law holds in all cases.
我们研究了量子开放面包师映射谱的相关特征。开放部分由沿着二维环面相空间动量(p)方向的一条切割组成，模拟了一个开放的混沌腔。我们简要研究了经典的前向捕获集，并分析了相应的量子非酉演化算符。本征值的分布强烈依赖于逃逸区域相对于该映射中心不连续性的位置。这为经典逃逸率和量子衰减率之间的关联引入了新的因素。最后，我们可以验证分形魏尔定律在所有情况下都是成立的。
