Quantum Chaos has originally emerged as the field which studies how the properties of
classical chaotic systems arise in their quantum counterparts. The growing interest in …

Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …

Out-of-time-order correlators are widely used as an indicator of quantum chaos but give
false-positive quantum Lyapunov exponents for integrable systems with isolated saddle …

Multifractal dimensions allow for characterizing the localization properties of states in
complex quantum systems. For ergodic states the finite-size versions of fractal dimensions …

We suggest a new indicator of quantum chaos based on the logarithmic out-of-time-order
correlator. On the one hand, this indicator correctly reproduces the average classical …

We demonstrate that quantum dynamical localization in the Arnold web of higher-
dimensional Hamiltonian systems is destroyed by an intrinsic classical drift. Thus quantum …

Several secure image encryption systems have been researched and formed by chaotic
mechanisms in current decades. This work recommends an innovative quantum color image …

The emergence of random matrix spectral correlations in interacting quantum systems is a
defining feature of quantum chaos. We study such correlations in terms of the spectral form …

Focus of the first edition of this book was quantum dynamics in connection with correlations
as carriers of information and entropy as a measure of information. In the same spirit, this …

We present an overview of mathematical results and methods relevant for the spectral study
of semiclassical Schrödinger (or wave) operators of scattering systems, in cases where the …