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  Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential

Kloss, B., Bar Lev, Y., & Reichman, D. (2018). Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential. Physical Review B, 97(2): 024307. doi:10.1103/PhysRevB.97.024307.

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 Urheber:
Kloss, Benedikt1, Autor
Bar Lev, Yevgeny2, Autor           
Reichman, David1, Autor
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1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Time dependent processes
 Zusammenfassung: We study the applicability of the time-dependent variational principle in matrix-product state manifolds for the long time description of quantum interacting systems. By studying integrable and nonintegrable systems for which the long time dynamics are known we demonstrate that convergence of long time observables is subtle and needs to be examined carefully. Remarkably, for the disordered nonintegrable system we consider the long time dynamics are in good agreement with the rigorously obtained short time behavior and with previous obtained numerically exact results, suggesting that at least in this case, the apparent convergence of this approach is reliable. Our study indicates that, while great care must be exercised in establishing the convergence of the method, it may still be asymptotically accurate for a class of disordered nonintegrable quantum systems.

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 Datum: 2018-01-262018-01-01
 Publikationsstatus: Erschienen
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 Identifikatoren: DOI: 10.1103/PhysRevB.97.024307
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Titel: Physical Review B
  Kurztitel : Phys. Rev. B
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Woodbury, NY : American Physical Society
Seiten: - Band / Heft: 97 (2) Artikelnummer: 024307 Start- / Endseite: - Identifikator: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008