Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering

M Bukov, L D'Alessio, A Polkovnikov - Advances in Physics, 2015 - Taylor & Francis
We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

Quantum chaos and thermalization in isolated systems of interacting particles

F Borgonovi, FM Izrailev, LF Santos, VG Zelevinsky - Physics Reports, 2016 - Elsevier
This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

Long-time behavior of isolated periodically driven interacting lattice systems

L D'Alessio, M Rigol - Physical Review X, 2014 - APS
We study the dynamics of isolated interacting spin chains that are periodically driven by
sudden quenches. Using full exact diagonalization of finite chains, we show that these …

Lyapunov exponent and out-of-time-ordered correlator's growth rate in a chaotic system

EB Rozenbaum, S Ganeshan, V Galitski - Physical review letters, 2017 - APS
It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve
as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit …

[BOK][B] Quantum signatures of chaos

F Haake - 1991 - Springer
The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

[BOK][B] Chaos in dynamical systems

E Ott - 2002 - books.google.com
Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

[BOK][B] Quantum Phase Transitions in Transverse Field Models

A Dutta - 2015 - books.google.com
The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

Quantum chaos

HJ Stöckmann - Quantum Chaos, 2007 - ui.adsabs.harvard.edu
Quantum Chaos - NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS
Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …

Simple models of quantum chaos: Spectrum and eigenfunctions

FM Izrailev - Physics Reports, 1990 - Elsevier
The statistical properties of so-called quantum chaos are considered on the basis of the well-
known model of a kicked rotator. Attention is paid mainly to the quasienergy spectrum and …

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 …