PMID: 15244916Jul 13, 2004Paper

Universal spectral statistics in Wigner-Dyson, chiral, and Andreev star graphs. I. Construction and numerical results

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sven Gnutzmann, Burkhard Seif

Abstract

In a series of two papers we investigate the universal spectral statistics of chaotic quantum systems in the ten known symmetry classes of quantum mechanics. In this first paper we focus on the construction of appropriate ensembles of star graphs in the ten symmetry classes. A generalization of the Bohigas-Giannoni-Schmit conjecture is given that covers all these symmetry classes. The conjecture is supported by numerical results that demonstrate the fidelity of the spectral statistics of star graphs to the corresponding Gaussian random-matrix theories.

References

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Jun 6, 2003·Physical Review Letters·Ph JacquodC W J Beenakker
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sven GnutzmannMartin R Zirnbauer

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Citations

Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sebastian MüllerAlexander Altland
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu Dabaghian

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