论文标题
黑孔作为云镜：与对称的海顿 - 普雷斯基尔协议
Black holes as clouded mirrors: the Hayden-Preskill protocol with symmetry
论文作者
论文摘要
Hayden-Preskill方案是黑洞信息悖论的Qubit Toy模型。基于争夺的假设，揭示了量子信息立即从建模黑洞的量子多体系统中泄漏出来。在本文中，我们将协议扩展到系统具有对称性并研究对称性如何影响信息泄漏的情况。我们特别关注的是对旋转数量的保存。开发部分脱钩方法，我们首先表明对称性会导致泄漏延迟和信息残余。然后，我们阐明它们背后的物理：延迟的特征是与对称性相关的系统的热力学特性，并且信息残留物与初始状态的对称性破坏密切相关。这些关系将信息泄漏问题桥接到量子多体系统的宏观物理学，并允许我们仅根据系统的物理性质研究信息泄漏。
The Hayden-Preskill protocol is a qubit-toy model of the black hole information paradox. Based on the assumption of scrambling, it was revealed that quantum information is instantly leaked out from the quantum many-body system that models a black hole. In this paper, we extend the protocol to the case where the system has symmetry and investigate how the symmetry affects the leakage of information. We especially focus on the conservation of the number of up-spins. Developing a partial decoupling approach, we first show that the symmetry induces a delay of leakage and an information remnant. We then clarify the physics behind them: the delay is characterized by thermodynamic properties of the system associated with the symmetry, and the information remnant is closely related to the symmetry-breaking of the initial state. These relations bridge the information leakage problem to macroscopic physics of quantum many-body systems and allow us to investigate the information leakage only in terms of physical properties of the system.
