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 …

Two properties are needed for a classical system to be chaotic: exponential stretching and
mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a …

The out-of-time ordered correlator (OTOC) is a measure of scrambling of quantum
information. Scrambling is intuitively considered to be a significant feature of chaotic …

Chaotic systems are characterized by sensitive dependence on initial conditions, similarity
to random behavior, and continuous broad-band power spectrum. The possibility for self …

Pollicott–Ruelle resonances for chaotic flows are the characteristic frequencies of
correlations. They are typically defined as eigenvalues of the generator of the flow acting on …

We report the numerical observation of scarring, which is enhancement of probability density
around unstable periodic orbits of a chaotic system, in the eigenfunctions of the classical …

The linear entropy and the Loschmidt echo have proved to be of interest recently in the
context of quantum information and of the quantum to classical transitions. We study the …

The subleading eigenvalues and associated eigenfunctions of the Perron–Frobenius
operator for two-dimensional area-preserving maps are numerically investigated. We closely …

The relaxation rates to the invariant density in the chaotic phase space component of the
kicked rotor (standard map) are calculated analytically for a large stochasticity parameter K …

We study classical and quantum maps on the torus phase space, in the presence of noise.
We focus on the spectral properties of the noisy evolution operator, and prove that for any …