微波谐振腔中的量子混沌散射
Quantum Chaotic Scattering in Microwave Resonators
摘要：
在微波谐振器模拟混沌量子台球的频率范围内，我们已经测量了隔离和弱重叠谐振的制度和谐振器的反射和透射振幅的模量和相位，有和没有时间反演不变性。S-矩阵波动的统计措施，确定从数据和比较现有的和/或新推导的理论结果从随机矩阵方法量子混沌散射。后者包含少量的拟合参数。大量的数据集使得以前所未有的准确度测试理论表达式成为可能。该理论是证实了这两个，一个良好的拟合检验和协议的预测值的统计措施，没有用于拟合，与数据。
英文摘要：
In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we have measured moduli and phases of reflection and transmission amplitudes in the regimes of both isolated and of weakly overlapping resonances and for resonators with and without time-reversal invariance. Statistical measures for S-matrix fluctuations were determined from the data and compared with extant and/or newly derived theoretical results obtained from the random-matrix approach to quantum chaotic scattering. The latter contained a small number of fit parameters. The large data sets taken made it possible to test the theoretical expressions with unprecedented accuracy. The theory is confirmed by both, a goodness-of-fit-test and the agreement of predicted values for those statistical measures that were not used for the fits, with the data.
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