A theory of many-body localization in periodically driven systems
Résumé
We present a theory of periodically driven, many-body localized (MBL) systems. We show that many-body localization persists under periodic driving at high enough driving frequency. The Flo-quet operator (evolution operator over one driving period) can be represented as an exponential of an effective time-independent Hamiltonian, which is a sum of local terms and is itself MBL. The Floquet eigenstates in this case have area-law entanglement entropy, and there exists an extensive set of local integrals of motion. We argue that at sufficiently low frequency, there is always delo-calization, owing to a large number of many-body level crossings and non-diabatic Landau-Zener transition between them. We propose a phase diagram of driven MBL systems.
Domaines
Physique mathématique [math-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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