Universität zu Köln

Altland, Alexander ORCID: 0000-0002-2991-4805, Gnutzmann, Sven ORCID: 0000-0002-6925-897X, Haake, Fritz and Micklitz, Tobias (2015). A review of sigma models for quantum chaotic dynamics. Rep. Prog. Phys., 78 (8). BRISTOL: IOP PUBLISHING LTD. ISSN 1361-6633

Full text not available from this repository.

Abstract

We review the construction of the supersymmetric sigma model for unitary maps, using the color-flavor transformation. We then illustrate applications by three case studies in quantum chaos. In two of these cases, general Floquet maps and quantum graphs, we show that universal spectral fluctuations arise provided the pertinent classical dynamics are fully chaotic (ergodic and with decay rates sufficiently gapped away from zero). In the third case, the kicked rotor, we show how the existence of arbitrarily long-lived modes of excitation (diffusion) precludes universal fluctuations and entails quantum localization.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED Gnutzmann, Sven UNSPECIFIED orcid.org/0000-0002-6925-897X UNSPECIFIED Haake, Fritz UNSPECIFIED UNSPECIFIED UNSPECIFIED Micklitz, Tobias UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-399354
DOI:	10.1088/0034-4885/78/8/086001
Journal or Publication Title:	Rep. Prog. Phys.
Volume:	78
Number:	8
Date:	2015
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1361-6633
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SPECTRAL STATISTICS; FIELD-THEORY; MATRIX; EIGENFUNCTIONS; LOCALIZATION; MAPS Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/39935