纠缠收割景观：一个通用计算框架

中文摘要 AI 辅助

纠缠收割通过局域探测器与量子场的相互作用，为探测量子场的非局域关联结构提供了一种操作手段。尽管收割已在多种时空背景和量子场态下得到研究，但现有研究大多聚焦于单个探测器构型或特定物理场景。在本工作中，我们为使用局域Unruh-DeWitt探测器的纠缠收割发展了一个统一的微扰框架，该框架通过相应的Wightman函数适用于任意探测器轨迹和量子场态。通过将探测器响应表示为无量纲变量，并将微扰积分解析化简为数值高效的形式，该框架能够系统探索多维收割景观、相边界和收割鲁棒性。作为代表性应用，我们研究了闵可夫斯基真空中的惯性探测器、热场态以及匀加速观测者。我们表明，有限温度增强了局域探测器响应和非局域交换振幅，导致在所考虑的微扰高斯切换框架内，参数空间中的收割区域扩大。所得的收割景观提供了探测器-场相互作用的全局表征，并展示了温度和观测者运动如何重塑局域探测器噪声与非局域场关联之间的竞争。本框架为研究广泛相对论量子系统中的纠缠收割提供了一个统一且易于扩展的方法论。

英文摘要

Entanglement harvesting provides an operational means of probing the nonlocal correlation structure of quantum fields through localized detector-field interactions. Although harvesting has been investigated in a wide variety of spacetime backgrounds and quantum field states, existing studies largely focus on individual detector configurations or specific physical settings. In this work, we develop a unified perturbative framework for entanglement harvesting with localized Unruh-DeWitt detectors that is applicable to arbitrary detector trajectories and quantum field states through the corresponding Wightman function. By expressing the detector response in terms of dimensionless variables and analytically reducing the perturbative integrals to numerically efficient representations, the framework enables a systematic exploration of multidimensional harvesting landscapes, phase boundaries, and harvesting robustness. As representative applications, we investigate inertial detectors in the Minkowski vacuum, thermal field states, and uniformly accelerated observers. We show that finite temperature enhances both the local detector response and the nonlocal exchange amplitude, leading, within the perturbative Gaussian-switching framework considered here, to an enlargement of the harvesting region in parameter space. The resulting harvesting landscapes provide a global characterization of detector-field interactions and demonstrate how temperature and observer motion reshape the competition between local detector noise and nonlocal field correlations. The framework developed here provides a unified and readily extensible methodology for investigating entanglement harvesting across a broad class of relativistic quantum systems.

发表机构

• BITS Pilani Hyderabad Campus（比拉尼理工学院海德拉巴校区）

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