论文标题
相对论量子信息中粒子探测器模型的协方差破裂
Broken covariance of particle detector models in relativistic quantum information
论文作者
论文摘要
我们表明，耦合到量子场的空间涂片粒子探测器的预测通常不是在尖端之外的协变量。缺乏协方差表现为时间顺序的操作中的歧义。我们分析协方差的分解如何影响量子场理论（例如Unruh-Dewitt模型）中的典型检测器模型。具体而言，我们展示了对协方差的侵权如何取决于检测器场系统的状态，探测器的形状和状态以及时空几何形状。此外，我们还提供了明确评估违规幅度的工具，并确定在扰动分析中完全或近似值的污迹预测的制度。
We show that the predictions of spatially smeared particle detectors coupled to quantum fields are not generally covariant outside the pointlike limit. This lack of covariance manifests itself as an ambiguity in the time-ordering operation. We analyze how the breakdown of covariance affects typical detector models in quantum field theory such as the Unruh-DeWitt model. Specifically, we show how the violations of covariance depend on the state of the detectors-field system, the shape and state of motion of the detectors, and the spacetime geometry. Furthermore, we provide the tools to explicitly evaluate the magnitude of the violation, and identify the regimes where the predictions of smeared detectors are either exactly or approximately covariant in perturbative analyses.
