Experimental observation of the spectral gap in microwave n-disk systems.
Experimental observation of the spectral gap in microwave n-disk systems.
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DOI：
10.1103/physrevlett.110.164102
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发表时间：
2012-12
影响因子：
8.6
通讯作者：
Sonja Barkhofen;Tobias Weich;A. Potzuweit;Hans-Jürgen Stöckmann;Ulrich Kuhl;Maciej Zworski
中科院分区：
文献类型：
--
作者：
Sonja Barkhofen;Tobias Weich;A. Potzuweit;Hans-Jürgen Stöckmann;Ulrich Kuhl;Maciej Zworski
在微波装置中研究了对称约化的三盘和五盘系统。使用谐波反演的谐振的虚部的分布被确定。随着系统的开放性增加，观察到的光谱间隙厚以及薄的排斥和后者的情况下，它与已知的拓扑压力界限。的分布的最大值被发现符合一个大的范围内的距离半径参数与经典逃逸率的一半。这证实了理论预测的基础上严格的数学分析的光谱间隙和数值实验的最大值的分布。
Symmetry reduced three-disk and five-disk systems are studied in a microwave setup. Using harmonic inversion the distribution of the imaginary parts of the resonances is determined. With increasing opening of the systems, a spectral gap is observed for thick as well as for thin repellers and for the latter case it is compared with the known topological pressure bounds. The maxima of the distributions are found to coincide for a large range of the distance to radius parameter with half of the classical escape rate. This confirms theoretical predictions based on rigorous mathematical analysis for the spectral gap and on numerical experiments for the maxima of the distributions.