Different Time Scales in Wave Function Intensity Statistics

Abstract

Unstable periodic orbits scar wave functions in chaotic systems. This also influences the associated spectra, that follow the otherwise universal Porter--Thomas intensity distribution. We show here how this deviation extend to other longer periodic orbits sharing some common dynamical characteristics. This indicates that the quantum mechanics of the system can be described quite simply with few orbits, up to the resolution associated to the corresponding length.

5 pages, 4 figures