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 …

In this review we summarize and amplify recent investigations of coupled quantum
dynamical systems with few degrees of freedom in the short-wavelength, semiclassical limit …

It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve
as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit …

Over the course of the past decade, decoherence has become a ubiquitous scienti? c term
popular in all kinds of research, from fundamental theories of quantum physics to …

arxiv:1206.6348v1 [nlin.CD] 27 Jun 2012 Page 1 arxiv:1206.6348v1 [nlin.CD] 27 Jun 2012
Loschmidt Echo Arseni Goussev1, Rodolfo A. Jalabert2, Horacio M. Pastawski3, and Diego …

Decoherence causes entropy increase that can be quantified using, eg, the purity ς= T r ρ 2.
When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation …

We investigate the sensitivity of quantum systems that are chaotic in a classical limit to small
perturbations of their equations of motion. This sensitivity, originally studied in the context of …

We discuss the behavior of fidelity for a classically chaotic quantum system. We show the
existence of a critical value of the perturbation above which the quantum decay, exponential …

We identify a border between regular and chaotic quantum dynamics. The border is
characterized by a power-law decrease in the overlap between a state evolved under …

The Loschmidt echo (LE) is a magnitude that measures the sensitivity of quantum dynamics
to perturbations in the Hamiltonian. For a certain regime of the parameters, the LE decays …