Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space

Kopp, Marten and Schomerus, Henning (2010) Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space. Physical Review E, 81 (2). ISSN 1539-3755

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Abstract

Weyl’s law approximates the number of states in a quantum system by partitioning the energetically accessible phase-space volume into Planck cells. Here, we show that resonances in open quantum systems can follow a modified fractal Weyl law, even when their classical dynamics is not globally chaotic but also contains domains of regular motion. Using an appropriate phase-space representation for open quantum systems, we connect this behavior to emerging quantum-to-classical correspondence.

Item Type: Journal Article
Journal or Publication Title: Physical Review E
Additional Information: © 2010 The American Physical Society
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 51665
Deposited By: ep_importer_pure
Deposited On: 30 Nov 2011 09:42
Refereed?: Yes
Published?: Published
Last Modified: 28 Feb 2020 01:33
URI: https://eprints.lancs.ac.uk/id/eprint/51665

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