标题： 通过算符纠缠的视角看信息 scrambling 与量子回复 显示英文标题

标题： Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement

摘要： 本文中，我们利用算符纠缠在二维共形场论（2d CFT）的紧致空间流形上寻找量子回复的特征。人们认为，在紧致空间流形上不会发生热化现象，因为量子态会回到初始状态，这种现象被称为量子回复。 我们发现，在自由费米子CFT等共形场论中，算符互信息表现出与准粒子相对论传播一致的量子回复；而在全息CFT中，算符互信息并不表现出这种回复，并且准粒子图像失效。 此外，通过计算三部分算符互信息，我们发现全息CFT的信息混淆能力可以通过有限尺寸效应减弱。我们提出了一种有效模型的修正版本，称为线张力图像，以解释由于强混淆效应引起的纠缠动力学，并发现该模型与全息体对偶中的虫洞（爱因斯坦-罗森桥）之间存在密切关系。 显示英文摘要

摘要： In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is believed that thermalization does not occur on spatially compact manifolds as the quantum state returns to its initial state which is a phenomenon known as quantum revival. We find that in CFTs such as the free fermion CFT, the operator mutual information exhibits quantum revival in accordance with the relativistic propagation of quasiparticles while in holographic CFTs, the operator mutual information does not exhibit this revival and the quasiparticle picture breaks down. Furthermore, by computing the tripartite operator mutual information, we find that the information scrambling ability of holographic CFTs can be weakened by the finite size effect. We propose a modification of an effective model known as the line tension picture to explain the entanglement dynamics due to the strong scrambling effect and find a close relationship between this model and the wormhole (Einstein-Rosen Bridge) in the holographic bulk dual.