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 …

Statistical properties of the localization measure of chaotic eigenstates in the Dicke model

Q Wang, M Robnik - Physical Review E, 2020 - APS
The quantum localization is one of the remarkable phenomena in the studies of quantum
chaos and plays an important role in various contexts. Thus, an understanding of the …

Relativistic quantum chaos

L Huang, HY Xu, C Grebogi, YC Lai - Physics Reports, 2018 - Elsevier
Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …

From localization to anomalous diffusion in the dynamics of coupled kicked rotors

S Notarnicola, F Iemini, D Rossini, R Fazio, A Silva… - Physical Review E, 2018 - APS
We study the effect of many-body quantum interference on the dynamics of coupled
periodically kicked systems whose classical dynamics is chaotic and shows an unbounded …

Absence of dynamical localization in interacting driven systems

DJ Luitz, Y Bar Lev, A Lazarides - SciPost Physics, 2017 - scipost.org
Using a numerically exact method we study the stability of dynamical localization to the
addition of interactions in a periodically driven isolated quantum system which conserves …

Thermalization and prethermalization in periodically kicked quantum spin chains

C Fleckenstein, M Bukov - Physical Review B, 2021 - APS
We study the dynamics of periodically kicked many-body systems away from the high-
frequency regime, and discuss a family of Floquet systems where the notion of …

Quantum localization measures in phase space

D Villaseñor, S Pilatowsky-Cameo… - Physical Review E, 2021 - APS
Measuring the degree of localization of quantum states in phase space is essential for the
description of the dynamics and equilibration of quantum systems, but this topic is far from …

Many-body synchronization in a classical Hamiltonian system

R Khasseh, R Fazio, S Ruffo, A Russomanno - Physical review letters, 2019 - APS
We study synchronization between periodically driven, interacting classical spins
undergoing a Hamiltonian dynamics. In the thermodynamic limit there is a transition …

Many-body dynamical localization in a kicked Lieb-Liniger gas

C Rylands, EB Rozenbaum, V Galitski, R Konik - Physical Review Letters, 2020 - APS
The kicked rotor system is a textbook example of how classical and quantum dynamics can
drastically differ. The energy of a classical particle confined to a ring and kicked periodically …

Prethermalization in aperiodically kicked many-body dynamics

J Yan, R Moessner, H Zhao - Physical Review B, 2024 - APS
Driven many-body systems typically experience heating due to the lack of energy
conservation. Heating may be suppressed for time-periodic drives, but little is known for less …