发表机构
American Physical Society; Assia（美国物理学会; 阿西亚研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文引入N算子关联函数（NOC）作为广义OTOC，以更全面地测量量子信息传播，并通过两个可解析玩具系统演示其应用。
AI 中文摘要
我们通过引入N算子关联函数，为测量量子信息传播提供了一种视角。借鉴宇宙学中N点关联函数的思想，我们构建了一种广义的乱序时间关联函数（OTOC），称为N算子关联函数（NOC）。这种构建可以减少仅选择两个算子用于OTOC所带来的受限分析效应。NOC在测量量子信息传播程度时，可以考虑更大范围的测量探针。我们通过两个可解析处理的玩具系统，在有限温度下计算算子时间演化的热平均值，来演示这些概念：纵向场中的单量子比特和XYZ双量子比特系统。我们的视角可作为量子力学中广义算子关联函数的基础介绍。
英文摘要
We provide a perspective into measuring the quantum information spreading by introducing N-operator correlators. Leveraging the idea from N-point correlation function from cosmology, we formulate a generalized Out-of-Time-Ordered Correlator (OTOC), called N-Operator Correlator (NOC). Such formulation can reduce the effect of restricted analysis associated with selecting only two operators for OTOC. NOC can take into account a larger set of measurement probes in measuring the degree of quantum information spreading. We demonstrate these concepts with two analytically tractable toy systems with computing thermal averages of operator time evolutions at a finite temperature: a single qubit in longitudinal field and XYZ two-qubit system. Our perspective serves as a basic introduction to generalized operator correlators in quantum mechanics.
Comments7 pages, 2 figures, 32 equations and 43 citations
