Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Interaction-induced directed transport in quantum chaotic subsystems

S Paul, JB Kannan, MS Santhanam - Physical Review E, 2023 - APS
Quantum directed transport can be realized in noninteracting, deterministic, chaotic systems
by appropriately breaking the spatiotemporal symmetries in the potential. In this work, the …

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 …

Interplay between quantum diffusion and localization in the atom-optics kicked rotor

SS Maurya, JB Kannan, K Patel, P Dutta, K Biswas… - Physical Review E, 2022 - APS
Atom-optics kicked rotor represents an experimentally reliable version of the paradigmatic
quantum kicked rotor system. In this system, a periodic sequence of kicks are imparted to the …

Quantum mechanics of Hyperion

N Wiebe, LE Ballentine - Physical Review A—Atomic, Molecular, and Optical …, 2005 - APS
This paper is motivated by the suggestion [W. Zurek, Phys. Scri. T, 76, 186 (1998)] that the
chaotic tumbling of the satellite Hyperion would become nonclassical within 20 years, but for …

Barrier-induced chaos in a kicked rotor: Classical subdiffusion and quantum localization

S Paul, H Pal, MS Santhanam - Physical Review E, 2016 - APS
The relation between classically chaotic dynamics and quantum localization is studied in a
system that violates the assumptions of the Kolmogorov-Arnold-Moser (KAM) theorem …

Information acquisition, scrambling, and sensitivity to errors in quantum chaos

S PG, A Sahu, ND Varikuti, BK Das, S Manna… - arxiv preprint arxiv …, 2024 - arxiv.org
Signatures of chaos can be understood by studying quantum systems whose classical
counterpart is chaotic. However, the concepts of integrability, non-integrability and chaos …

Control of dynamical localization

J Gong, HJ Wörner, P Brumer - Physical Review E, 2003 - APS
Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated.
Specifically, control over a number of quantum coherent phenomena is achieved by a …

Quantum Information Scrambling, Chaos, Sensitivity, and Emergent State Designs

ND Varikuti - arxiv preprint arxiv:2409.10182, 2024 - arxiv.org
Understanding quantum chaos is of profound theoretical interest and carries significant
implications for various applications, from condensed matter physics to quantum error …

Accelerator modes of square well system

R Sankaranarayanan, VB Sheorey - Physics Letters A, 2005 - Elsevier
We study accelerator modes of a particle, confined in an one-dimensional infinite square-
well potential, subjected to a time-periodic pulsed field. Dynamics of such a particle can be …