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

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.

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 Urheber:
Smith, Adam1, Autor
Knolle, Johannes1, Autor
Moessner, Roderich2, Autor           
Kovrizhin, Dmitry L.1, Autor
Affiliations:
1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Stochastic processes
 Zusammenfassung: 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.

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 Datum: 2019-08-232019-08-23
 Publikationsstatus: Erschienen
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 Identifikatoren: ISI: 000482452700010
DOI: 10.1103/PhysRevLett.123.086602
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Titel: Physical Review Letters
  Kurztitel : Phys. Rev. Lett.
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Woodbury, N.Y. : American Physical Society
Seiten: - Band / Heft: 123 (8) Artikelnummer: 086602 Start- / Endseite: - Identifikator: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1