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 …

[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 …

Scrambling in strongly chaotic weakly coupled bipartite systems: Universality beyond the Ehrenfest timescale

R Prakash, A Lakshminarayan - Physical Review B, 2020 - APS
Out-of-time-order correlators (OTOCs), vigorously being explored as a measure of quantum
chaos and information scrambling, is studied here in the natural and simplest multiparticle …

Quantifying the sensitivity to errors in analog quantum simulation

PM Poggi, NK Lysne, KW Kuper, IH Deutsch… - PRX Quantum, 2020 - APS
Quantum simulators are widely seen as one of the most promising near-term applications of
quantum technologies. However, it remains unclear to what extent a noisy device can output …

Developments in random matrix theory

PJ Forrester, NC Snaith… - Journal of Physics A …, 2003 - iopscience.iop.org
Developments in random matrix theory Page 1 Journal of Physics A: Mathematical and General
INTRODUCTORY REVIEW Developments in random matrix theory To cite this article: PJ …

Chaos and complexity of quantum motion

T Prosen - Journal of Physics A: Mathematical and Theoretical, 2007 - iopscience.iop.org
The problem of characterizing the complexity of quantum dynamics—in particular of locally
interacting chains of quantum particles—will be reviewed and discussed from several …

Quantum coherence controls the nature of equilibration and thermalization in coupled chaotic systems

JJ Pulikkottil, A Lakshminarayan, SCL Srivastava… - Physical Review E, 2023 - APS
A bipartite system whose subsystems are fully quantum chaotic and coupled by a
perturbative interaction with a tunable strength is a paradigmatic model for investigating how …

A random matrix formulation of fidelity decay

T Gorin, T Prosen, TH Seligman - New Journal of Physics, 2004 - iopscience.iop.org
We propose to study echo dynamics in a random-matrix framework, where we assume that
the perturbation is time-independent, random and orthogonally invariant. This allows us to …

Universal spectral correlations in interacting chaotic few-body quantum systems

F Fritzsch, MFI Kieler - Physical Review E, 2024 - APS
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 …