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

Abstract

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

Citation Formats

Ponte, Pedro, Department of Physics and Astronomy, University of Waterloo, ON N2L 3G1, Chandran, Anushya, Papić, Z., E-mail: zpapic@perimeterinstitute.ca, Institute for Quantum Computing, Waterloo, ON N2L 3G1, Abanin, Dmitry A., and Institute for Quantum Computing, Waterloo, ON N2L 3G1. Periodically driven ergodic and many-body localized quantum systems. United States: N. p., 2015. Web. doi:10.1016/J.AOP.2014.11.008.
Ponte, Pedro, Department of Physics and Astronomy, University of Waterloo, ON N2L 3G1, Chandran, Anushya, Papić, Z., E-mail: zpapic@perimeterinstitute.ca, Institute for Quantum Computing, Waterloo, ON N2L 3G1, Abanin, Dmitry A., & Institute for Quantum Computing, Waterloo, ON N2L 3G1. Periodically driven ergodic and many-body localized quantum systems. United States. doi:10.1016/J.AOP.2014.11.008.
Ponte, Pedro, Department of Physics and Astronomy, University of Waterloo, ON N2L 3G1, Chandran, Anushya, Papić, Z., E-mail: zpapic@perimeterinstitute.ca, Institute for Quantum Computing, Waterloo, ON N2L 3G1, Abanin, Dmitry A., and Institute for Quantum Computing, Waterloo, ON N2L 3G1. Sun . "Periodically driven ergodic and many-body localized quantum systems". United States. doi:10.1016/J.AOP.2014.11.008.
@article{osti_22447593,
title = {Periodically driven ergodic and many-body localized quantum systems},
author = {Ponte, Pedro and Department of Physics and Astronomy, University of Waterloo, ON N2L 3G1 and Chandran, Anushya and Papić, Z., E-mail: zpapic@perimeterinstitute.ca and Institute for Quantum Computing, Waterloo, ON N2L 3G1 and Abanin, Dmitry A. and Institute for Quantum Computing, Waterloo, ON N2L 3G1},
abstractNote = {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.},
doi = {10.1016/J.AOP.2014.11.008},
journal = {Annals of Physics},
number = ,
volume = 353,
place = {United States},
year = {Sun Feb 15 00:00:00 EST 2015},
month = {Sun Feb 15 00:00:00 EST 2015}
}