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  Quantum Mutual Information as a Probe for Many-Body Localization

De Tomasi, G., Bera, S., Bardarson, J. H., & Pollmann, F. (2017). Quantum Mutual Information as a Probe for Many-Body Localization. Physical Review Letters, 118(1): 016804. doi:10.1103/PhysRevLett.118.016804.

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De Tomasi, G1, Autor           
Bera, Soumya1, Autor           
Bardarson, Jens H.1, Autor           
Pollmann, Frank1, Autor           
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Strongly correlated electrons
 Zusammenfassung: We demonstrate that the quantum mutual information (QMI) is a useful probe to study many-body localization (MBL). First, we focus on the detection of a metal-insulator transition for two different models, the noninteracting Aubry-Andre-Harper model and the spinless fermionic disordered Hubbard chain. We find that the QMI in the localized phase decays exponentially with the distance between the regions traced out, allowing us to define a correlation length, which converges to the localization length in the case of one particle. Second, we show how the QMI can be used as a dynamical indicator to distinguish an Anderson insulator phase from a MBL phase. By studying the spread of the QMI after a global quench from a random product state, we show that the QMI does not spread in the Anderson insulator phase but grows logarithmically in time in the MBL phase.

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 Datum: 2017-01-05
 Publikationsstatus: Online veröffentlicht
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 Identifikatoren: DOI: 10.1103/PhysRevLett.118.016804
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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: 118 (1) Artikelnummer: 016804 Start- / Endseite: - Identifikator: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1