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.
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).
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