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Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
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 …
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …
Quantum chaos and thermalization in isolated systems of interacting particles
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 …
interacting constituents. A variety of physically important systems of intensive current interest …
Long-time behavior of isolated periodically driven interacting lattice systems
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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …