Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, 35032 Marburg, Germany.
Phys Rev Lett. 2013 Apr 19;110(16):164102. doi: 10.1103/PhysRevLett.110.164102. Epub 2013 Apr 17.
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.
在微波装置中研究了对称性降低的三盘和五盘系统。通过谐波反演确定了共振的虚部分布。随着系统开口的增加，在厚和薄排斥器中观察到谱隙，并且在后一种情况下将其与已知的拓扑压力界限进行了比较。发现分布的最大值在与半径参数的距离的大范围内与经典逃逸率的一半重合。这证实了基于严格数学分析的谱隙和基于数值实验的分布最大值的理论预测。
