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Title: Quantum and wave dynamical chaos in superconducting microwave billiards

Experiments with superconducting microwave cavities have been performed in our laboratory for more than two decades. The purpose of the present article is to recapitulate some of the highlights achieved. We briefly review (i) results obtained with flat, cylindrical microwave resonators, so-called microwave billiards, concerning the universal fluctuation properties of the eigenvalues of classically chaotic systems with no, a threefold and a broken symmetry; (ii) summarize our findings concerning the wave-dynamical chaos in three-dimensional microwave cavities; (iii) present a new approach for the understanding of the phenomenon of dynamical tunneling which was developed on the basis of experiments that were performed recently with unprecedented precision, and finally, (iv) give an insight into an ongoing project, where we investigate universal properties of (artificial) graphene with superconducting microwave photonic crystals that are enclosed in a microwave resonator, i.e., so-called Dirac billiards.
Authors:
;  [1]
  1. Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt (Germany)
Publication Date:
OSTI Identifier:
22402573
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 25; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; CHAOS THEORY; CYLINDRICAL CONFIGURATION; DYNAMICS; EIGENVALUES; FLUCTUATIONS; GRAPHENE; MICROWAVE RADIATION; RESONATORS; REVIEWS; SYMMETRY BREAKING; THREE-DIMENSIONAL CALCULATIONS; THREE-DIMENSIONAL LATTICES; TUNNEL EFFECT