标题： 从开放系统视角出发的OTOC量子速度限制 显示英文标题

标题： Quantum speed limit for the OTOC from an open systems perspective

摘要： 杂乱化，即初始局域的量子信息的非局域化，通常由时间有序相关的反向关联函数（OTOC）来表征。 利用OTOC-Renyi-2熵定理，我们推导出一个OTOC的量子速度极限，该极限为信息杂乱化的速率设定了下限。 通过将闭合量子系统中信息的杂乱化描述为与环境相互作用的开放系统的有效退相干过程，该界限变得特别易于处理。 我们证明，OTOC的衰减可以被系统-环境耦合的强度以及两点环境关联函数所限制。 我们使用非可积的横向场伊辛模型对我们的解析界限进行了数值验证。 我们的结果提供了一个普遍且与模型无关的定量框架，用于理解量子多体物理、凝聚态物理和工程量子平台中信息传播的动力学极限。 显示英文摘要

摘要： Scrambling, the delocalization of initially localized quantum information, is commonly characterized by the out-of-time ordered correlator (OTOC). Employing the OTOC-Renyi-2 entropy theorem we derive a quantum speed limit for the OTOC, which sets an lower bound for the rate with which information can be scrambled. This bound becomes particularly tractable by describing the scrambling of information in a closed quantum system as an effective decoherence process of an open system interacting with an environment. We prove that decay of the OTOC can be bounded by the strength of the system-environment coupling and two-point environmental correlation functions. We validate our analytic bound numerically using the non-integrable transverse field Ising model. Our results provide a universal and model-agnostic quantitative framework for understanding the dynamical limits of information spreading across quantum many-body physics, condensed matter, and engineered quantum platforms.