Theory of many-body localization in periodically driven systems

DOI10.1016/j.aop.2016.03.010zbMath1380.81495arXiv1412.4752OpenAlexW3099067495MaRDI QIDQ1698147

Wojciech De Roeck, Dmitry A. Abanin, François Huveneers

Publication date: 21 February 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4752

zbMATH Keywords

many-body localizationperiodically driven systems

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Many-body theory; quantum Hall effect (81V70)

Related Items (14)

Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing ⋮ Anderson localization for periodically driven systems ⋮ Quantum information geometry of driven CFTs ⋮ Properties of many-body localization in quasi-disordered Haldane-Shastry model ⋮ Transition between anomalous and Anderson localization in systems with non-diagonal disorder driven by time-periodic fields ⋮ Reducibility for a linear wave equation with Sobolev smooth fast-driven potential ⋮ Derivation of Kubo's formula for disordered systems at zero temperature ⋮ Krylov complexity in the IP matrix model ⋮ Stability and pre-thermalization in chains of classical kicked rotors ⋮ Floquet-Magnus theory and generic transient dynamics in periodically driven many-body quantum systems ⋮ A rigorous theory of many-body prethermalization for periodically driven and closed quantum systems ⋮ Low-frequency and Moiré-Floquet engineering: a review ⋮ Influence functional of many-body systems: temporal entanglement and matrix-product state representation ⋮ Reducibility for a fast-driven linear Klein-Gordon Equation

Cites Work

• Periodically driven ergodic and many-body localized quantum systems
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Spectra and eigenstates of spin chain Hamiltonians
• Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body energy localization transition in periodically driven systems
• Area laws in a many-body localized state and its implications for topological order
• Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods

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