Leaking chaotic systems

EG Altmann, JSE Portela, T Tél - Reviews of Modern Physics, 2013 - APS
There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Resonances in open quantum maps

M Novaes - Journal of Physics A: Mathematical and Theoretical, 2013 - iopscience.iop.org
We review recent studies on the resonance spectrum of quantum scattering systems, in the
semiclassical limit and assuming chaotic classical dynamics. Stationary quantum properties …

Resonance states of the three-disk scattering system

JR Schmidt, R Ketzmerick - New Journal of Physics, 2023 - iopscience.iop.org
For the paradigmatic three-disk scattering system, we confirm a recent conjecture for open
chaotic systems, which claims that resonance states are composed of two factors. In …

Weyl asymptotics: from closed to open systems

A Potzuweit, T Weich, S Barkhofen, U Kuhl… - Physical Review E …, 2012 - APS
We present microwave experiments on the symmetry reduced five-disk billiard studying the
transition from a closed to an open system. The measured microwave reflection signal is …

[HTML][HTML] Average localization of resonances on the quantum repeller

J Montes, GG Carlo, F Borondo - Communications in Nonlinear Science …, 2024 - Elsevier
There has been a very recent surge in the interest on the localization properties of
resonances associated to partially open (scattering) systems, which are of great relevance …

Semiclassical Limit of Resonance States in Chaotic Scattering

R Ketzmerick, F Lorenz, JR Schmidt - Physical Review Letters, 2025 - APS
Resonance states in quantum chaotic scattering systems have a multifractal structure that
depends on their decay rate. We show how classical dynamics describes this structure for all …

Universal intensity statistics of multifractal resonance states

K Clauß, F Kunzmann, A Bäcker, R Ketzmerick - Physical Review E, 2021 - APS
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 …

Local random vector model for semiclassical fractal structure of chaotic resonance states

K Clauß, R Ketzmerick - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
The semiclassical structure of resonance states of classically chaotic scattering systems with
partial escape is investigated. We introduce a local randomization on phase space for the …

Lagrangian descriptors for open maps

GG Carlo, F Borondo - Physical Review E, 2020 - APS
We adapt the concept of Lagrangian descriptors, which have been recently introduced as
efficient indicators of phase space structures in chaotic systems, to unveil the key features of …

Multifractality of open quantum systems

AM Bilen, I García-Mata, B Georgeot, O Giraud - Physical Review E, 2019 - APS
We study the eigenstates of open maps whose classical dynamics is pseudointegrable and
for which the corresponding closed quantum system has multifractal properties. Adapting the …