Event
M.S. Thesis Defense: Ziyuan Fu
Wednesday, August 2, 2017
10:00 a.m.
AVW 1146
Maria Hoo
301 405 3681
mch@umd.edu
ANNOUNCEMENT: M.S. Thesis Defense
NAME: Ziyuan Fu
Committee:
Professor Steven M. Anlage, Chair/Advisor
Professor Thomas M. Antonsen
Professor Phillip Sprangle
Date/Time: Wednesday, August 2, 2017 at 10am in AVW 1146
Place: Room 1146, A.V. Williams Building
Title: Experimental Study of Quantum Graphs with Microwave Networks: Non-universal Features
Abstract: 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. The loss parameter of the network is independently determined by quality factor calculation and numerical simulation. Waves trapped due to multiple reflections on bonds between nodes in the graph most likely cause the deviations from universal behavior in the finite-size realization of a quantum graph.
