Localization from Superselection Rules in Translationally Invariant Systems
Name
PhysRevLett.116.027202.pdf
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146.13 KB
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Author(s)
Kim, Isaac H.
Haah, Jeongwan
Date Issued
January 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Kim, Isaac H., and Jeongwan Haah. "Localization from Superselection Rules in Translationally Invariant Systems." Phys. Rev. Lett. 116, 027202 (January 2016). © 2016 American Physical Society
Version
Final published version
Abstract
The cubic code model is studied in the presence of arbitrary extensive perturbations. Below a critical perturbation strength, we show that most states with finite energy are localized; the overwhelming majority of such states have energy concentrated around a finite number of defects, and remain so for a time that is near exponential in the distance between the defects. This phenomenon is due to an emergent superselection rule and does not require any disorder. Local integrals of motion for these finite energy sectors are identified as well. Our analysis extends more generally to systems with immobile topological excitations.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.116.027202
