Universität zu Köln

Gutkin, B. and Osipov, V. Al. (2015). Universality in spectral statistics of open quantum graphs. Phys. Rev. E, 91 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

The quantum evolutionmaps 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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gutkin, B. UNSPECIFIED UNSPECIFIED UNSPECIFIED Osipov, V. Al. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-400949
DOI:	10.1103/PhysRevE.91.060901
Journal or Publication Title:	Phys. Rev. E
Volume:	91
Number:	6
Date:	2015
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PERIODIC-ORBITS; ENSEMBLES; MATRIX; CHAOS Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/40094