论文标题
运营商的尺寸分布，$ n $ $ n $量子力学
Operator Size Distribution in Large $N$ Quantum Mechanics of Majorana Fermions
论文作者
论文摘要
在混沌量子系统中的海森堡进化下，最初简单的操作员演变成复杂的操作员，并最终覆盖整个操作员空间。我们在此过程中研究了操作员``大小''的增长，该过程与超时相关器（OTOC）有关。我们得出了Majorana Fermions的大$ N $量子力学中尺寸分布的全职演变。作为示例，我们将形式主义应用于Brownian Syk模型（无限温度）和大型$ Q $ SYK模型（有限温度）。
Under the Heisenberg evolution in chaotic quantum systems, initially simple operators evolve into complicated ones and ultimately cover the whole operator space. We study the growth of the operator ``size'' in this process, which is related to the out-of-time-order correlator (OTOC). We derive the full time evolution of the size distribution in large $N$ quantum mechanics of Majorana fermions. As examples, we apply the formalism to the Brownian SYK model (infinite temperature) and the large $q$ SYK model (finite temperature).
