Journal
ANNALS OF PHYSICS
Volume 372, Issue -, Pages 1-11Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2016.03.010
Keywords
Many-body localization; Periodically driven systems
Categories
Funding
- Alfred Sloan Foundation
- DFG (German Research Fund)
- Belgian Interuniversity Attraction Pole [P07/18]
- ANR
- JCJC
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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. (C) 2016 Elsevier Inc. All rights reserved.
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