Fidelity serves as a benchmark for the reliability in quantum information processes, and has
recently attracted much interest as a measure of the susceptibility of dynamics to …

We derive a simple and general relation between the fidelity of quantum motion,
characterizing the stability of quantum dynamics with respect to arbitrary static perturbation …

We study generic open quantum systems with Markovian dissipation, focusing on a class of
stochastic Liouvillian operators of Lindblad form with independent random dissipation …

The study of dissipation and decoherence in generic open quantum systems recently led to
the investigation of spectral and steady-state properties of random Lindbladian dynamics. A …

In this paper we review our recent work on the theoretical approach to quantum Loschmidt
echoes, ie, various properties of the so-called echo dynamics–the composition of forward …

We study the dynamical generation of entanglement as a signature of chaos in a system of
periodically kicked coupled tops, where chaos and entanglement arise from the same …

We study the stability of unitary quantum dynamics of composite systems (for example:
central system+ environment) with respect to weak interaction between the two parts. Unified …

A Rydberg molecule is composed of an outer electron that collides on the residual ionic
core. Typical states of Rydberg molecules display entanglement between the outer electron …

We consider the quantum harmonic oscillator in contact with a finite-temperature bath,
modeled by the Caldeira-Leggett master equation. Applying periodic kicks to the oscillator …

In this set of five lectures the authors have presented techniques to analyze open classical
and quantum systems using correlation matrices. For diverse reasons we shall see that …