Lifetime statistics of quantum chaos studied by a multiscale analysis

Journal Article · Mon Apr 30 00:00:00 EDT 2012 · Applied Physics Letters

DOI:https://doi.org/10.1063/1.4711018· OSTI ID:22025540

Di Falco, A; Krauss, T F ^[1]; Fratalocchi, A ^[2]

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1. School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, KY16 9SS (United Kingdom)
2. PRIMALIGHT, Faculty of Electrical Engineering, Applied Mathematics and Computational Science, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900 (Saudi Arabia)

In a series of pump and probe experiments, we study the lifetime statistics of a quantum chaotic resonator when the number of open channels is greater than one. Our design embeds a stadium billiard into a two dimensional photonic crystal realized on a silicon-on-insulator substrate. We calculate resonances through a multiscale procedure that combines energy landscape analysis and wavelet transforms. Experimental data is found to follow the universal predictions arising from random matrix theory with an excellent level of agreement.

• OSTI ID: 22025540
• Journal Information: Applied Physics Letters, Vol. 100, Issue 18; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-6951
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
CHAOS THEORY
CRYSTALS
LIFETIME
MATRICES
OPTICS
QUANTUM MECHANICS
RANDOMNESS
RESONANCE
RESONATORS
SILICON
STATISTICS
SUBSTRATES
TWO-DIMENSIONAL CALCULATIONS