☆ 4.5 Article

Theory of many-body localization in periodically driven systems

ANNALS OF PHYSICS (2016)

期刊

ANNALS OF PHYSICS

卷 372, 期 -, 页码 1-11

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE

DOI: 10.1016/j.aop.2016.03.010

关键词

Many-body localization; Periodically driven systems

类别

Physics, Multidisciplinary

资金

Alfred Sloan Foundation
DFG (German Research Fund)
Belgian Interuniversity Attraction Pole [P07/18]
ANR
JCJC

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Protocol

Reagent

摘要

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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