Universality in spectral statistics of open quantum graphs

B. Gutkin; V. Al Osipov

doi:10.1103/PhysRevE.91.060901

Universality in spectral statistics of open quantum graphs

B. Gutkin
, V. Al Osipov

University of Duisburg-Essen
University of Cologne

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The quantum evolution maps of closed chaotic quantum graphs are unitary and known to have universal spectral correlations matching predictions of random matrix theory. In chaotic graphs with absorption the quantum maps become nonunitary. We show that their spectral statistics exhibit universality at the soft edges of the spectrum. The same spectral behavior is observed in many classical nonunitary ensembles of random matrices with rotationally invariant measures.

Original language	English
Article number	060901
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	91
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.91.060901
State	Published - 22 Jun 2015
Externally published	Yes

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10.1103/PhysRevE.91.060901

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title = "Universality in spectral statistics of open quantum graphs",

abstract = "The quantum evolution maps of closed chaotic quantum graphs are unitary and known to have universal spectral correlations matching predictions of random matrix theory. In chaotic graphs with absorption the quantum maps become nonunitary. We show that their spectral statistics exhibit universality at the soft edges of the spectrum. The same spectral behavior is observed in many classical nonunitary ensembles of random matrices with rotationally invariant measures.",

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AB - The quantum evolution maps of closed chaotic quantum graphs are unitary and known to have universal spectral correlations matching predictions of random matrix theory. In chaotic graphs with absorption the quantum maps become nonunitary. We show that their spectral statistics exhibit universality at the soft edges of the spectrum. The same spectral behavior is observed in many classical nonunitary ensembles of random matrices with rotationally invariant measures.

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M3 - 文章

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Universality in spectral statistics of open quantum graphs

Abstract

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