论文标题

sachdev-ye-kitaev量子点系统中的蝴蝶效应

The butterfly effect in a Sachdev-Ye-Kitaev quantum dot system

论文作者

Lunkin, A. V.

论文摘要

我们研究了具有二次扰动的Sachdev-Ye-Kitaev(SYK)模型的晶格扩展中的耗阶阶相关函数(OTOC)。所获得的结果对于任意时间尺度的有效,既短且比Ehrenfest时间更长。我们证明,发达的混乱区域与“前部区域”与弱混乱的区域分离,该区域在晶格上弹道移动。对于类似SYK的模型,对各种系统的参数进行了前速度。

We study the out-of-time-order correlation function (OTOC) in a lattice extension of the Sachdev-Ye-Kitaev (SYK) model with quadratic perturbations. The results obtained are valid for arbitrary time scales, both shorter and longer than the Ehrenfest time. We demonstrate that the region of well-developed chaos is separated from the weakly chaotic region by the "front region", which moves ballistically across the lattice. Front velocity is calculated for various system's parameters, for the first time for SYK-like models.

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