Theory of Many-body localization in periodically driven systems
Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François (2016), Theory of Many-body localization in periodically driven systems, Annals of Physics, 372, p. 1-11. 10.1016/j.aop.2016.03.010
TypeArticle accepté pour publication ou publié
External document linkhttps://arxiv.org/abs/1412.4752v3
Journal nameAnnals of Physics
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Abstract (EN)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.
Subjects / KeywordsMany-body localization; Periodically driven systems
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