Logarithmic Spreading of Out-of-Time-Ordered Correlators without Many-Body 
Localization

Smith, Adam; Knolle, Johannes; Moessner, Roderich; Kovrizhin, Dmitry L.

doi:10.1103/PhysRevLett.123.086602

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Logarithmic Spreading of Out-of-Time-Ordered Correlators without Many-Body Localization

MPS-Authors

/persons/resource/persons145694

Moessner, Roderich
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1812.07981.pdf
(Preprint), 3MB

Supplementary Material (public)

There is no public supplementary material available

Citation

Smith, A., Knolle, J., Moessner, R., & Kovrizhin, D. L. (2019). Logarithmic Spreading of Out-of-Time-Ordered Correlators without Many-Body Localization. Physical Review Letters, 123(8): 086602. doi:10.1103/PhysRevLett.123.086602.

Cite as: https://hdl.handle.net/21.11116/0000-0005-174B-E

Abstract

Out-of-time-ordered correlators (OTOCs) describe information scrambling under unitary time evolution, and provide a useful probe of the emergence of quantum chaos. Here we calculate OTOCs for a model of disorder-free localization whose exact solubility allows us to study long-time behavior in large systems. Remarkably, we observe logarithmic spreading of correlations, qualitatively different to both thermalizing and Anderson localized systems. Rather, such behavior is normally taken as a signature of many-body localization, so that our findings for an essentially noninteracting model are surprising. We provide an explanation for this unusual behavior, and suggest a novel Loschmidt echo protocol as a probe of correlation spreading. We show that the logarithmic spreading of correlations probed by this protocol is a generic feature of localized systems, with or without interactions.