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 …

Spread complexity evolution in quenched interacting quantum systems

M Gautam, K Pal, K Pal, A Gill, N Jaiswal, T Sarkar - Physical Review B, 2024 - APS
We analyze time evolution of spread complexity (SC) in an isolated interacting quantum
many-body system when it is subjected to a sudden quench. Characteristics features of 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 …

Stability of quantum motion and correlation decay

T Prosen, M Znidaric - Journal of Physics A: Mathematical and …, 2002 - iopscience.iop.org
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 …

Unexpected features of branched flow through high-mobility two-dimensional electron gases

MP Jura, MA Topinka, L Urban, A Yazdani… - Nature Physics, 2007 - nature.com
GaAs-based two-dimensional electron gases (2DEGs) show a wealth of remarkable
electronic states,,, and serve as the basis for fast transistors, research on electrons in …

Quantum chaotic environments, the butterfly effect, and decoherence

ZP Karkuszewski, C Jarzynski, WH Zurek - Physical review letters, 2002 - APS
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 …

General features of the relaxation dynamics of interacting quantum systems

EJ Torres-Herrera, M Vyas, LF Santos - New Journal of Physics, 2014 - iopscience.iop.org
We study numerically and analytically isolated interacting quantum systems that are taken
out of equilibrium instantaneously (quenched). The probability of finding the initial state in …

Quantum-classical correspondence in perturbed chaotic systems

G Benenti, G Casati - Physical Review E, 2002 - APS
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 …