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Title: Periodically driven ergodic and many-body localized quantum systems

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.
Authors:
 [1] ;  [2] ;  [1] ;  [1] ;  [2] ;  [1] ;  [2]
  1. Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5 (Canada)
  2. (Canada)
Publication Date:
OSTI Identifier:
22447593
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 353; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; EIGENVALUES; HAMILTONIANS; MANY-BODY PROBLEM; PERIODICITY; QUANTUM SYSTEMS; SPIN; THERMALIZATION