A theory of many-body localization in periodically driven systems

By D. Abanin, Wojciech De Roeck, F. Huveneers. 2014

228 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/a4af1ccff40787be6b6f0b7548cb2e575db2977a

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In Atomic and Molecular Physics, and Optics

In Electronic, Optical and Magnetic Materials

Citations in the corpus

A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems (2015, background): “In that case, numerics and theory [33, 26, 3] suggest that (1.”
Classification of Interacting Topological Floquet Phases in One Dimension (2016, background): “[17] Dmitry Abanin, Wojciech De Roeck, and François Hu-”