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 …

Prethermal floquet steady states and instabilities in the periodically driven, weakly interacting bose-hubbard model

M Bukov, S Gopalakrishnan, M Knap, E Demler - Physical review letters, 2015 - APS
We explore prethermal Floquet steady states and instabilities of the weakly interacting two-
dimensional Bose-Hubbard model subject to periodic driving. We develop a description of …

Many-body dynamical delocalization in a kicked one-dimensional ultracold gas

JH See Toh, KC McCormick, X Tang, Y Su, XW Luo… - Nature Physics, 2022 - nature.com
Contrary to a driven classical system that exhibits chaotic behaviour and diffusive energy
growth, a kicked quantum system can exhibit the emergence of dynamical localization …

High-order quantum resonances observed in a periodically kicked Bose-Einstein condensate

C Ryu, MF Andersen, A Vaziri, MB d'Arcy… - Physical review …, 2006 - APS
We have observed high-order quantum resonances in a realization of the quantum δ-kicked
rotor, using Bose-condensed Na atoms subjected to a pulsed standing wave of laser light …

Floquet topological phases in a spin- double kicked rotor

L Zhou, J Gong - Physical Review A, 2018 - APS
The double kicked rotor model is a physically realizable extension of the paradigmatic
kicked rotor model in the study of quantum chaos. Even before the concept of Floquet …

Josephson oscillation and transition to self-trapping for Bose-Einstein condensates in a triple-well trap

B Liu, LB Fu, SP Yang, J Liu - Physical Review A—Atomic, Molecular, and …, 2007 - APS
We investigate the tunneling dynamics of Bose-Einstein condensates (BECs) in a symmetric
as well as in a tilted triple-well trap within the framework of mean-field treatment. The …

Evidence for a quantum-to-classical transition in a pair of coupled quantum rotors

B Gadway, J Reeves, L Krinner, D Schneble - Physical review letters, 2013 - APS
The understanding of how classical dynamics can emerge in closed quantum systems is a
problem<? format?> of fundamental importance. Remarkably, while classical behavior …

Spin soliton with a negative-positive mass transition

LC Zhao, W Wang, Q Tang, ZY Yang, WL Yang, J Liu - Physical Review A, 2020 - APS
We obtain a striking spin soliton in a two-component Bose-Einstein condensate and
investigate its motions in the presence of a constant force. The initially static spin soliton first …

Dynamical localization of coupled relativistic kicked rotors

EB Rozenbaum, V Galitski - Physical Review B, 2017 - APS
A periodically driven rotor is a prototypical model that exhibits a transition to chaos in the
classical regime and dynamical localization (related to Anderson localization) in the …

Entanglement dynamics in chaotic systems

S Ghose, BC Sanders - Physical Review A—Atomic, Molecular, and Optical …, 2004 - APS
We study quantum chaos for systems with more than one degree of freedom, for which we
present an analysis of the dynamics of entanglement. Our analysis explains the main …