Journal
ANNALS OF PHYSICS
Volume 353, Issue -, Pages 196-204Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2014.11.008
Keywords
Many-body localization; Periodically driven system; Thermalization; Non-equilibrium dynamics
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Funding
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development Innovation
- NSERC
- DOE [DE-SC0002140]
- FCT [SFRH/BD/84875/2012]
- Fundação para a Ciência e a Tecnologia [SFRH/BD/84875/2012] Funding Source: FCT
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We study dynamics of isolated quantum many-body systems whose Hamiltonian is switched between two different operators periodically in time. The eigenvalue problem of the associated Floquet operator maps onto an effective hopping problem. Using the effective model, we establish conditions on the spectral properties of the two Hamiltonians for the system to localize in energy space. We find that ergodic systems always delocalize in energy space and heat up to infinite temperature, for both local and global driving. In contrast, many-body localized systems with quenched disorder remain localized at finite energy. We support our conclusions by numerical simulations of disordered spin chains. We argue that our results hold for general driving protocols, and discuss their experimental implications. (C) 2014 Elsevier Inc. All rights reserved.
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