Universal intensity statistics of multifractal resonance states
Chaotic Dynamics
2021-04-26 v2 Quantum Physics
Abstract
We conjecture that in chaotic quantum systems with escape the intensity statistics for resonance states universally follows an exponential distribution. This requires a scaling by the multifractal mean intensity which depends on the system and the decay rate of the resonance state. We numerically support the conjecture by studying the phase-space Husimi function and the position representation of resonance states of the chaotic standard map, the baker map, and a random matrix model, each with partial escape.
Keywords
Cite
@article{arxiv.2012.02541,
title = {Universal intensity statistics of multifractal resonance states},
author = {Konstantin Clauß and Felix Kunzmann and Arnd Bäcker and Roland Ketzmerick},
journal= {arXiv preprint arXiv:2012.02541},
year = {2021}
}