论文标题
量子场超快速测量的时空曲率
Spacetime curvature from ultra rapid measurements of quantum fields
论文作者
论文摘要
我们以粒子检测器的激发概率超高耦合到量子场的激发概率来编写时空的曲率。更确切地说，我们为在弯曲背景下与实际标量量子场耦合到实际标量量子场的激发概率提供了扩展。使用Wightman函数的短距离扩展，我们将检测器的激发概率表示为Minkowski SpaceTime中的过渡概率以及编写的校正项作为曲率张量和检测器尺寸的函数。将弯曲空间中的激发概率与其平坦的类似物进行比较，我们能够表达Ricci和Riemann曲率张量的组件，这是不同形状检测器的物理可测量激发概率的函数。
We write the curvature of spacetime in terms of the excitation probability of particle detectors ultra-rapidly coupled to a quantum field. More precisely, we provide an expansion for the excitation probability of a smeared UDW detector delta-coupled to a real scalar quantum field in a curved background. Using a short distance expansion for the Wightman function, we express the excitation probability of a detector as the transition probability in Minkowski spacetime plus correction terms written as a function of the curvature tensors and the detector size. Comparing the excitation probability in curved spacetimes with its flat analog, we are able to express the components of the Ricci and Riemann curvature tensors as a function of physically measurable excitation probabilities of different shaped detectors.
