Rydberg atoms in external fields as an example of open quantum systems with classical chaos
Rydberg atoms in external fields as an example of open quantum systems with classical chaos
复制标题
外场中的里德伯原子作为具有经典混沌的开放量子系统的例子
DOI：
--
复制
发表时间：
1994
期刊：
影响因子：
--
通讯作者：
G. Wunner
中科院分区：
文献类型：
--
作者：
J. Main;G. Wunner
我们根据开放系统经典混沌特征的特征，检查电离阈值以上的外部磁场和电场中氢原子的量子光谱。借助复坐标旋转方法计算连续区的波函数和光电离截面来获得光谱。我们发现，光电离截面在能量场区域表现出强烈的埃里克森涨落，这是经典混沌散射的量子特征特征，其中经典轨迹计算揭示了经典电离时间对初始条件的分形依赖性。我们还将复共振能量的最近邻间距分布与随机矩阵理论的预测进行了比较，并且我们的结果可以通过吉尼布分布很好地再现。
We examine the quantum spectra of hydrogen atoms in external magnetic and electric fields above the ionization threshold with respect to signatures of classical chaos characteristics of open systems. The spectra are obtained by calculating wavefunctions and photoionization cross sections in the continuum region with the aid of the complex-coordinate-rotation method. We find that the photoionization cross sections exhibit strong Ericson fluctuations, a quantum feature characteristic of classically chaotic scattering, in energy-field regions where classical trajectory calculations reveal a fractal dependence of the classical ionization time on the initial conditions. We also compare the nearest-neighbour-spacing distributions of complex resonance energies with predictions of random-matrix theories and and that our results are well reproduced by a Ginibre distribution.