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): 026208. 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.