Leaking chaotic systems
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 …
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 …
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 …
chaotic systems, which claims that resonance states are composed of two factors. In …
Weyl asymptotics: from closed to open systems
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 …
transition from a closed to an open system. The measured microwave reflection signal is …
[HTML][HTML] Average localization of resonances on the quantum repeller
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 …
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 …
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 …
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 …
partial escape is investigated. We introduce a local randomization on phase space for the …
Lagrangian descriptors for open maps
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 …
efficient indicators of phase space structures in chaotic systems, to unveil the key features of …
Multifractality of open quantum systems
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 …
for which the corresponding closed quantum system has multifractal properties. Adapting the …