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:
ID Code:
51665
Deposited By:
Deposited On:
30 Nov 2011 09:42
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Oct 2020 01:41