A theory of many-body localization in periodically driven systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annals of Physics Année : 2016

A theory of many-body localization in periodically driven systems

Résumé

We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet operator (evolution operator over one driving period) can be represented as an exponential of an effective time-independent Hamiltonian, which is a sum of quasi-local terms and is itself fully MBL. We derive this result by constructing a sequence of canonical transformations to remove the time-dependence from the original Hamiltonian. When the driving evolves smoothly in time, the theory can be sharpened by estimating the probability of adiabatic Landau–Zener transitions at many-body level crossings. In all cases, we argue that there is delocalization at sufficiently low frequency. We propose a phase diagram of driven MBL systems.
Fichier principal
Vignette du fichier
drivenMBL.pdf (468 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01099150 , version 1 (31-12-2014)
hal-01099150 , version 2 (04-01-2017)

Identifiants

Citer

Dmitry Abanin, Wojciech de Roeck, François Huveneers. A theory of many-body localization in periodically driven systems. Annals of Physics, 2016, 372, pp.1-11. ⟨10.1016/j.aop.2016.03.010⟩. ⟨hal-01099150v2⟩
346 Consultations
219 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More