Dynamics of Loschmidt echoes and fidelity decay

T Gorin, T Prosen, TH Seligman, M Žnidarič - Physics Reports, 2006 - Elsevier
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 …

Decoherence, entanglement and irreversibility in quantum dynamical systems with few degrees of freedom

P Jacquod, C Petitjean - Advances in Physics, 2009 - Taylor & Francis
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 …

Lyapunov exponent and out-of-time-ordered correlator's growth rate in a chaotic system

EB Rozenbaum, S Ganeshan, V Galitski - Physical review letters, 2017 - APS
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 …

Quantum and classical Lyapunov exponents in atom-field interaction systems

J Chávez-Carlos, B López-del-Carpio… - Physical review …, 2019 - APS
The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as
a quantum signature of classical chaos. The growth rate is expected to coincide with the …

[PDF][PDF] Loschmidt echo

A Goussev, RA Jalabert, HM Pastawski… - arXiv preprint arXiv …, 2012 - arxiv.org
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 and the Loschmidt echo

FM Cucchietti, DAR Dalvit, JP Paz, WH Zurek - Physical review letters, 2003 - APS
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 …

Dynamical manifestations of quantum chaos: correlation hole and bulge

EJ Torres-Herrera, LF Santos - … Transactions of the …, 2017 - royalsocietypublishing.org
A main feature of a chaotic quantum system is a rigid spectrum where the levels do not
cross. We discuss how the presence of level repulsion in lattice many-body quantum …

Timescales in the quench dynamics of many-body quantum systems: Participation ratio versus out-of-time ordered correlator

F Borgonovi, FM Izrailev, LF Santos - Physical Review E, 2019 - APS
We study quench dynamics in the many-body Hilbert space using two isolated systems with
a finite number of interacting particles: a paradigmatic model of randomly interacting bosons …

Sensitivity of quantum information to environment perturbations measured with a nonlocal out-of-time-order correlation function

M Niknam, LF Santos, DG Cory - Physical Review Research, 2020 - APS
In a quantum system coupled with a non-Markovian environment, quantum information may
flow out of or into the system. Measuring quantum information flow and its sensitivity to …

Dynamical aspects of quantum entanglement for weakly coupled kicked tops

H Fujisaki, T Miyadera, A Tanaka - Physical Review E, 2003 - APS
We investigate how the dynamical production of quantum entanglement for weakly coupled,
composite quantum systems is influenced by the chaotic dynamics of the corresponding …