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Many-Body Localization in Periodically Driven Systems

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1410.8518.pdf (1.770Mb)
Date
2015
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Many-Body Localization
Journal issue
Physical Review Letters
Volume
114
Publication date
04-2015
Publisher
American Physical Society
DOI
http://dx.doi.org/10.1103/PhysRevLett.114.140401
URI
https://basepub.dauphine.fr/handle/123456789/17257
Collections
  • CEREMADE : Publications
Metadata
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Author
Ponte, Pedro
522166 Department of Physics and Astronomy [Waterloo]
Papić, Zlatko
173286 Institute for Quantum Computing [Waterloo] [IQC]
Huveneers, François
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Dmitry, Abanin
173286 Institute for Quantum Computing [Waterloo] [IQC]
Type
Article accepté pour publication ou publié
Abstract (EN)
We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in which almost all eigenstates have area-law entanglement entropy, and the eigenstate thermalization hypothesis (ETH) is violated, and (ii) a delocalized phase, in which eigenstates have volume-law entanglement and obey the ETH. The MBL phase exhibits logarithmic in time growth of entanglement entropy when the system is initially prepared in a product state, which distinguishes it from the delocalized phase. We propose an effective model of the MBL phase in terms of an extensive number of emergent local integrals of motion, which naturally explains the spectral and dynamical properties of this phase. Numerical data, obtained by exact diagonalization and time-evolving block decimation methods, suggest a direct transition between the two phases.

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