Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization
Published: Jul 14, 2025
Last Updated: Jul 14, 2025
Authors:Florian Lorenz, Jan Robert Schmidt, Roland Ketzmerick
Abstract
For chaotic scattering systems we investigate the left-right Husimi representation, which combines left and right resonance states. We demonstrate that the left-right Husimi representation is invariant in the semiclassical limit under the corresponding closed classical dynamics, which we call quantum invariance. Furthermore, we show that it factorizes into a classical multifractal structure times universal quantum fluctuations. Numerical results for a dielectric cavity, the three-disk scattering system, and quantum maps confirm both the quantum invariance and the factorization.