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Pré-Publication, Document De Travail Année : 2014

A theory of many-body localization in periodically driven systems

Résumé

We present a theory of periodically driven, many-body localized (MBL) systems. We show that many-body localization persists under periodic driving at high enough driving frequency. The Flo-quet operator (evolution operator over one driving period) can be represented as an exponential of an effective time-independent Hamiltonian, which is a sum of local terms and is itself MBL. The Floquet eigenstates in this case have area-law entanglement entropy, and there exists an extensive set of local integrals of motion. We argue that at sufficiently low frequency, there is always delo-calization, owing to a large number of many-body level crossings and non-diabatic Landau-Zener transition between them. We propose a phase diagram of driven MBL systems.
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Dates et versions

hal-01099150 , version 1 (31-12-2014)
hal-01099150 , version 2 (04-01-2017)

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Abanin Dmitry, Wojciech de Roeck, François Huveneers. A theory of many-body localization in periodically driven systems. 2014. ⟨hal-01099150v1⟩
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