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Published July 1, 2017 | Submitted + Supplemental Material + Published
Journal Article Open

Driving induced many-body localization

Abstract

Subjecting a many-body localized system to a time-periodic drive generically leads to delocalization and a transition to ergodic behavior if the drive is sufficiently strong or of sufficiently low frequency. Here we show that a specific drive can have an opposite effect, taking a static delocalized system into the many-body localized phase. We demonstrate this effect using a one-dimensional system of interacting hard-core bosons subject to an oscillating linear potential. The system is weakly disordered, and is ergodic absent the driving. The time-periodic linear potential leads to a suppression of the effective static hopping amplitude, increasing the relative strengths of disorder and interactions. Using numerical simulations, we find a transition into the many-body localized phase above a critical driving frequency and in a range of driving amplitudes. Our findings highlight the potential of driving schemes exploiting the coherent destruction of tunneling for engineering long-lived Floquet phases.

Additional Information

© 2017 American Physical Society. Received 13 March 2017; revised manuscript received 15 May 2017; published 19 July 2017. We thank Dima Abanin, Jens Bardarson, Iliya Esin, Vladimir Kalnizky, Ilia Khait, Achilleas Lazarides, Roderich Moessner, and Alon Nahshony for illuminating discussions. E.B. acknowledges financial support from the Gutwirth Foundation. G.R. is grateful for support from the NSF through Grant No. DMR-1410435, the Institute of Quantum Information and Matter, an NSF Frontier center funded by the Gordon and Betty Moore Foundation, and the Packard Foundation. N.L. acknowledges support from the People Programme (Marie Curie Actions) of the European Union Seventh Framework Programme (No. FP7/2007–2013) under REA Grant Agreement No. 631696, from the Israeli Center of Research Excellence (I-CORE) "Circle of Light," and from the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 639172).

Attached Files

Published - PhysRevB.96.020201.pdf

Submitted - 1702.06208.pdf

Supplemental Material - Driving-induced_MBL_supplementary.pdf

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