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 …

Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: how low can we go?

PG Sreeram, V Madhok… - Journal of Physics D …, 2021 - iopscience.iop.org
The out-of-time-ordered correlators (OTOCs) and the Loschmidt echo are two measures that
are now widely being explored to characterize sensitivity to perturbations and information …

Probing dynamical sensitivity of a non-Kolmogorov-Arnold-Moser system through out-of-time-order correlators

ND Varikuti, A Sahu, A Lakshminarayan, V Madhok - Physical Review E, 2024 - APS
Non-Kolmogorov-Arnold-Moser (KAM) systems, when perturbed by weak time-dependent
fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase …

Late time dynamics in SUSY saddle-dominated scrambling through higher-point OTOC

RN Das, S Dutta, A Maji - Physica Scripta, 2024 - iopscience.iop.org
In this article, we propose higher-point out-of-time-order correlators (OTOCs) as a tool to
differentiate chaotic from saddle-dominated dynamics in late times. As a model, we study the …

Quantum walks with quantum chaotic coins: Loschmidt echo, classical limit, and thermalization

S Omanakuttan, A Lakshminarayan - Physical Review E, 2021 - APS
Coined discrete-time quantum walks are studied using simple deterministic dynamical
systems as coins whose classical limit can range from being integrable to chaotic. It is …

[HTML][HTML] Exponential speedup in measuring out-of-time-ordered correlators and gate fidelity with a single bit of quantum information

S Pg, ND Varikuti, V Madhok - Physics Letters A, 2021 - Elsevier
Out-of-time-ordered correlators (OTOC) are a quantifier of quantum information scrambling
and are useful in characterizing quantum chaos. We propose an efficient quantum algorithm …

[HTML][HTML] Quadratic Growth of Out-of-Time-Ordered Correlators in Quantum Kicked Rotor Model

G Li, W Zhao - Entropy, 2024 - mdpi.com
We investigate both theoretically and numerically the dynamics of out-of-time-ordered
correlators (OTOCs) in quantum resonance conditions for a kicked rotor model. We employ …

A study of chaos and randomness in quantum systems

S PG - arXiv preprint arXiv:2402.00287, 2024 - arxiv.org
How classical chaos emerges from the underlying quantum world is a fundamental problem
in physics. The origin of this question is in the correspondence principle. Classical chaos …

Out-of-time ordered correlators in kicked coupled tops: Information scrambling in mixed phase space and the role of conserved quantities

ND Varikuti, V Madhok - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
We study operator growth in a bipartite kicked coupled tops (KCTs) system using out-of-time
ordered correlators (OTOCs), which quantify “information scrambling” due to chaotic …

Probing Dynamical Sensitivity of a Non-KAM System Through Out-of-Time-Order Correlators

ND Varikuti, A Sahu, A Lakshminarayan… - arXiv preprint arXiv …, 2023 - arxiv.org
Non-KAM (Kolmogorov-Arnold-Moser) systems, when perturbed by weak time-dependent
fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase …