Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space.
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.
Kopp
Marten
M
Department of Physics, Lancaster University, Lancaster LA1 4YB, UK.
Schomerus
Henning
H