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 …

Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions

AJ Scott - Physical Review A—Atomic, Molecular, and Optical …, 2004 - APS
We investigate the average bipartite entanglement, over all possible divisions of a
multipartite system, as a useful measure of multipartite entanglement. We expose a …

Bridging entanglement dynamics and chaos in semiclassical systems

A Lerose, S Pappalardi - Physical Review A, 2020 - APS
It is widely recognized that entanglement generation and dynamical chaos are intimately
related in semiclassical models via the process of decoherence. In this paper, we propose a …

Modelling decoherence in quantum spin systems

W Zhang, N Konstantinidis… - Journal of Physics …, 2007 - iopscience.iop.org
In this review we discuss approaches to numerical modelling of decoherence by a spin bath.
We consider several popular simulation methods, briefly discussing their implementation …

Quantum chaos, delocalization, and entanglement in disordered Heisenberg models

WG Brown, LF Santos, DJ Starling, L Viola - Physical Review E—Statistical …, 2008 - APS
We investigate disordered one-and two-dimensional Heisenberg spin lattices across the
transition from integrability to quantum chaos from both statistical many-body and quantum …

Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos

A Seshadri, V Madhok, A Lakshminarayan - Physical Review E, 2018 - APS
Many-body states that are invariant under particle relabeling, the permutation symmetric
states, occur naturally when the system dynamics is described by symmetric processes or …

Entanglement, avoided crossings, and quantum chaos in an Ising model with a tilted magnetic field

J Karthik, A Sharma, A Lakshminarayan - Physical Review A—Atomic …, 2007 - APS
We study a one-dimensional Ising model with a magnetic field and show that tilting the field
induces a transition to quantum chaos. We explore the stationary states of this Hamiltonian …

Quantum biology on the edge of quantum chaos

G Vattay, S Kauffman, S Niiranen - PloS one, 2014 - journals.plos.org
We give a new explanation for why some biological systems can stay quantum coherent for
a long time at room temperature, one of the fundamental puzzles of quantum biology. We …

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 …