38 citations · 149 across the 20 of their papers we have counts for
8 papers · 1 filter
Uniform hyperbolicity of a class of scattering maps
Hajime Yoshino, Normann Mertig, Akira Shudo
In recent years fractal Weyl laws and related quantum eigenfunction hypothesis have been studied in a plethora of numerical model systems, called quantum maps. In some models studi…
Resonance spectra for quantum maps of kicked scattering systems by complex scaling
Normann Mertig, Akira Shudo
We consider quantum maps induced by periodically-kicked scattering systems and discuss the computation of their resonance spectra in terms of complex scaling and sufficiently weak…
Complex-Path Prediction of Resonance-Assisted Tunneling in Mixed Systems
Felix Fritzsch, Arnd Bäcker, Roland Ketzmerick +1
We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain. We identify complex…
Perturbation-Free Prediction of Resonance-Assisted Tunneling in Mixed Regular--Chaotic Systems
Normann Mertig, Julius Kullig, Clemens Löbner +2
For generic Hamiltonian systems we derive predictions for dynamical tunneling from regular to chaotic phase-space regions. In contrast to previous approaches, we account for the re…
Integrable approximation of regular regions with a nonlinear resonance chain
Julius Kullig, Clemens Löbner, Normann Mertig +2
Generic Hamiltonian systems have a mixed phase space where regions of regular and chaotic motion coexist. We present a method for constructing an integrable approximation to such r…
Complex paths for regular-to-chaotic tunneling rates
Normann Mertig, Steffen Löck, Arnd Bäcker +2
In generic Hamiltonian systems tori of regular motion are dynamically separated from regions of chaotic motion in phase space. Quantum mechanically these phase-space regions are co…
Consequences of Flooding on Spectral Statistics
Torsten Rudolf, Normann Mertig, Steffen Löck +1
We study spectral statistics in systems with a mixed phase space, in which regions of regular and chaotic motion coexist. Increasing their density of states, we observe a transitio…
Fractional-Power-Law Level-Statistics due to Dynamical Tunneling
Arnd Bäcker, Roland Ketzmerick, Steffen Löck +1
For systems with a mixed phase space we demonstrate that dynamical tunneling universally leads to a fractional power law of the level-spacing distribution P(s) over a wide range of…