Local Conservation Laws and the Structure of the Many-Body Localized States
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Serbyn-2013-Local conservation laws.pdf
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Author(s) • •
Serbyn, Maksym
Papic, Z.
Abanin, Dmitry A.
Date Issued
September 2013
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Serbyn, Maksym, Z. Papic, and Dmitry A. Abanin. “Local Conservation Laws and the Structure of the Many-Body Localized States.” Physical Review Letters 111, no. 12 (September 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of local conservation laws for its nonequilibrium quantum dynamics. We argue that the many-body localization can be used to protect coherence in the system by suppressing relaxation between eigenstates with different local integrals of motion.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.111.127201