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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
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.
Received: 03.02.2022 Revised: 03.02.2022 Accepted: 03.02.2022
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
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https://www.mathnet.ru/eng/jetpl6626 https://www.mathnet.ru/eng/jetpl/v115/i5/p328
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Abstract page: | 58 | References: | 18 | First page: | 14 |
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