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A theory of many-body localization in periodically driven systems

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arxiv 1412.4752 v3 pith:ZA2RMA5K submitted 2014-12-15 cond-mat.dis-nn cond-mat.stat-mechcond-mat.str-el

Dmitry Abanin , Wojciech De Roeck , François Huveneers This is my paper · ORCID
classification cond-mat.dis-nncond-mat.stat-mechcond-mat.str-el
keywords drivingdrivenmany-bodysystemstheoryarguefrequencyhamiltonian
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Prethermalization without temperature

    cond-mat.dis-nn 2019-08 conditional novelty 8.0 of 10

    An emergent approximate conservation of magnetization creates a long-lived prethermal time-crystal regime at infinite temperature, and tuning the drive field can exponentially extend the NMR time-crystal signal.

  2. Long-Range Prethermal Phases of Nonequilibrium Matter

    cond-mat.stat-mech 2019-08 conditional novelty 8.0 of 10

    The paper proves, with one explicit assumption in the intermediate regime, that prethermal Floquet phases exist for power-law interacting systems with exponent alpha > d, and predicts a disorder-free one-dimensional p...

  3. Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory

    cond-mat.str-el 2019-08 conditional novelty 7.0 of 10

    Under sine-square-deformed Floquet driving of a 1+1D CFT, the heating phase localizes energy and Bell-pair entanglement at two fixed-point peaks, and E scales as the exponential of the entropy.

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