Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features

• Authors: Z. Fu , T. Koch , T. Antonsen , E. Ott , S. Anlage
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

Quantum graphs; universal fluctuations; impedance; random coupling model; microwave graphs

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 6
• Pages: 1655-1660

Dates

published

2017-12

Contributors

author

Z. Fu

• Center for Nanophysics and Advanced Materials, University of Maryland, College Park, MD 20742-4111 USA

author

T. Koch

• Department of Physics, University of Maryland, College Park, MD 20742-4111 USA

author

T. Antonsen

• Department of Physics, University of Maryland, College Park, MD 20742-4111 USA

author

E. Ott

• Department of Physics, University of Maryland, College Park, MD 20742-4111 USA

author

S. Anlage

• Center for Nanophysics and Advanced Materials, University of Maryland, College Park, MD 20742-4111 USA
• Department of Physics, University of Maryland, College Park, MD 20742-4111 USA

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Identifiers

DOI

10.12693/APhysPolA.132.1655