Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features
Z. Fua,b, T. Koch c, T.M. Antonsena,c, E. Otta,c and S.M. Anlagea,b,c

aDepartment of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742-3285 USA
bCenter for Nanophysics and Advanced Materials, University of Maryland, College Park, MD 20742-4111 USA
cDepartment of Physics, University of Maryland, College Park, MD 20742-4111 USA
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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.

DOI: 10.12693/APhysPolA.132.1655
topics: Quantum graphs, universal fluctuations, impedance, random coupling model, microwave graphs