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

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Published
Article number026208
<mark>Journal publication date</mark>19/02/2010
<mark>Journal</mark>Physical Review E
Issue number2
Volume81
Number of pages0
Publication StatusPublished
<mark>Original language</mark>English

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.

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© 2010 The American Physical Society