Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features
Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features
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DOI：
10.12693/aphyspola.132.1655
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发表时间：
2017-12-01
影响因子：
0.7
通讯作者：
Anlage, S. M.
中科院分区：
文献类型：
--
作者：
Fu, Z.;Koch, T.;Anlage, S. M.
量子图提供了一个测试所有射线混沌系统都表现出普遍的波混沌特性的假设的设置。在这里，由微波同轴电缆网络组成的实验装置用于模拟量子图。与波长相比较大的网络由通过 T 形接头连接的同轴电缆构成。阻抗统计的分布是从四面体网络系综上的实验获得的。应用随机耦合模型（RCM）试图揭示系统的普遍统计特性。已观察到与 RCM 预测的偏差，因为对角线和非对角线阻抗元件的统计数据不同。有人认为，由于此处使用的小型有限尺寸量子图，将会产生非通用结果。
Quantum graphs provide a setting to test the hypothesis that all ray-chaotic systems show universal wave chaotic properties. Here, an experimental setup consisting of a microwave coaxial cable network is used to simulate quantum graphs. The networks which are large compared to the wavelength, are constructed from coaxial cables connected by T junctions. The distributions of impedance statistics are obtained from experiments on an ensemble of tetrahedral networks. The random coupling model (RCM) is applied in an attempt to uncover the universal statistical properties of the system. Deviations from RCM predictions have been observed in that the statistics of diagonal and off-diagonal impedance elements are different. It is argued that because of the small finite-size quantum graphs utilized here there will be non-universal results.