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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2022, Volume 115, Issue 5, Pages 328–335
DOI: https://doi.org/10.31857/S123456782205010X (Mi jetpl6626) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MISCELLANEOUS

Butterfly effect in a system of quantum dots in the Sachdev–Ye–Kitaev model

A. V. Lunkinabc

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334 Russia
b National Research University Higher School of Economics, Moscow, 101000 Russia
c Skolkovo Institute of Science and Technology, Moscow, 121205 Russia
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DOI: https://doi.org/10.31857/S123456782205010X
Abstract: A method has been proposed to calculate the out-of-time time ordered correlator in the generalization of the Sachdev–Ye–Kitaev model with a nonzero spatial dimension. The result is applicable not only at small times, when the chaotic properties of the system are developed weakly, but also at large times of about the Erenfest time. It has been shown that information on the applied perturbation, which is described by this correlator, propagates ballistically in the form of a front. The velocity of the front for models of this type has been calculated for the first time.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS
HSE Basic Research Program
Russian Foundation for Basic Research 20-32-9005
This work was supported in part by the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS, by the Program of Basic Research of the National Research University Higher School of Economics, and by the Russian Foundation for Basic Research (project no. 20-32-90057).
Received: 03.02.2022
Revised: 03.02.2022
Accepted: 03.02.2022
English version:
Journal of Experimental and Theoretical Physics Letters, 2022, Volume 115, Issue 5, Pages 297–304
DOI: https://doi.org/10.1134/S0021364022100149
Document Type: Article
Language: Russian
Citation: A. V. Lunkin, “Butterfly effect in a system of quantum dots in the Sachdev–Ye–Kitaev model”, Pis'ma v Zh. Èksper. Teoret. Fiz., 115:5 (2022), 328–335; JETP Letters, 115:5 (2022), 297–304
Citation in format AMSBIB
\Bibitem{Lun22}
\by A.~V.~Lunkin
\paper Butterfly effect in a system of quantum dots in the Sachdev--Ye--Kitaev model
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2022
\vol 115
\issue 5
\pages 328--335
\mathnet{http://mi.mathnet.ru/jetpl6626}
\crossref{https://doi.org/10.31857/S123456782205010X}
\transl
\jour JETP Letters
\yr 2022
\vol 115
\issue 5
\pages 297--304
\crossref{https://doi.org/10.1134/S0021364022100149}
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    • This publication is cited in the following 1 articles:
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