Fractal Weyl laws for chaotic open systems

Abstract

We present a result relating the density of quantum resonances for an open chaotic system to the fractal dimension of the associated classical repeller. The result is supported by numerical computation of the resonances of the system of n disks on a plane. The result generalizes the Weyl law for the density of states of a closed system to chaotic open systems.

revtex4, 4 pages, 3 figures

Cited by in corpus (4)

• Quantum-to-classical crossover of quasi-bound states in open quantum systems
• Quantum-to-classical correspondence in open chaotic systems
• Quantum resonances and partial differential equations
• Fractal upper bounds on the density of semiclassical resonances