Fractal Weyl law behavior in an open, chaotic Hamiltonian system

TL;DR

This paper demonstrates that an open, chaotic Hamiltonian system exhibits fractal Weyl law behavior, with resonance wave functions localized on a fractal repeller, even away from the classical limit.

Contribution

It provides numerical evidence of fractal Weyl law behavior in a smooth potential Hamiltonian system with above-barrier resonances.

Findings

Fractal Weyl law behavior observed numerically.

Resonance wave functions localized on fractal classical repeller.

Behavior persists away from classical limit.

Abstract

We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relatively far away from the classical limit. The complex resonance wave functions are found to be localized on the fractal classical repeller.