近日，复旦大学的张鹏飞及其研究团队取得一项新进展。经过不懈努力，他们提出超出最大混沌的尺寸缠绕机制。相关研究成果已于2024年11月7日在国际知名学术期刊《高能物理杂志》上发表。

在这项工作中，研究人员基于弥散子有效理论，构建了一个计算框架，用于确定全连接相互作用量子系统中的缠绕尺寸分布。研究人员获得了大q SYK模型在整个时间域内的缠绕尺寸分布，其中，对于有限N系统而言，潜在的长时间修正可能至关重要。

值得注意的是，研究人员发现缠绕尺寸的表现源于弥散子传播子中的一个普适相位因子，这凸显了李雅普诺夫指数的重要性。这些发现为算子动力学与虫洞传送现象之间建立了清晰而精确的联系。

据悉，信息弥散的概念阐明了量子多体系统中局部信息的分散情况，为诸如虫洞传送等物理现象提供了深入见解。这一现象激发了广泛的理论与实验研究。其中，尺寸缠绕机制作为一种有价值的诊断工具，在优化信号检测方面展现出了重要作用。

附：英文原文

Title: Size winding mechanism beyond maximal chaos

Author: Zhou, Tian-Gang, Gu, Yingfei, Zhang, Pengfei

Issue&Volume: 2024-11-07

Abstract: The concept of information scrambling elucidates the dispersion of local information in quantum many-body systems, offering insights into various physical phenomena such as wormhole teleportation. This phenomenon has spurred extensive theoretical and experimental investigations. Among these, the size-winding mechanism emerges as a valuable diagnostic tool for optimizing signal detection. In this work, we establish a computational framework for determining the winding size distribution in all-to-all interacting quantum systems, utilizing the scramblon effective theory. We obtain the winding size distribution for the large-q SYK model across the entire time domain, where potential late-time corrections can be crucial for finite-N systems. Notably, we unveil that the manifestation of size winding results from a universal phase factor in the scramblon propagator, highlighting the significance of the Lyapunov exponent. These findings contribute to a sharp and precise connection between operator dynamics and the phenomenon of wormhole teleportation.

DOI: 10.1007/JHEP11(2024)044

Source: https://link.springer.com/article/10.1007/JHEP11(2024)044