title: Many-body localization in periodically driven systems.
abstract: 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.
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.|Department of Physics and Astronomy, University of Waterloo, Ontario, N2L 3G1, Canada.
authors.forename: Pedro
authors.initials: P
authors.lastname: Ponte
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.|Institute for Quantum Computing, Waterloo, Ontario N2L 3G1, Canada.|School of Physics and Astronomy, University of Leeds, Leeds, West Yorkshire LS2 9JT, United Kingdom.
authors.forename: Z
authors.initials: Z
authors.lastname: Papić
authors.affiliation: CEREMADE, Universite Paris-Dauphine, Paris, France.
authors.forename: François
authors.initials: F
authors.lastname: Huveneers
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.|Institute for Quantum Computing, Waterloo, Ontario N2L 3G1, Canada.
authors.forename: Dmitry A
authors.initials: DA
authors.lastname: Abanin