论文标题
在(2+1)维度时空的圆形轨迹上的单个和纠缠探测器的辐射过程
Radiative processes of single and entangled detectors on circular trajectories in (2+1) dimensional Minkowski spacetime
论文作者
论文摘要
我们研究了涉及两个纠缠的Unruh-Dewitt检测器的辐射过程,这些探测器正在以$(2+1)$ -Dimensional Minkowski SpaceTime中的圆形轨迹移动。我们假设探测器耦合到无质量标量量表场,并计算Minkowski真空和热浴中检测器的过渡概率速率。当检测器借助高斯开关函数时,我们还评估了检测器的过渡概率速率以进行有限的时间间隔。首先,我们先检查单个检测器的响应,然后再考虑两个纠缠检测器的情况。正如我们将看到的那样,在$(2+1)$时空维度工作使检测器的过渡概率率相对简单。我们发现,两个纠缠检测器的跨过渡概率速率可以与单个检测器的自动过渡概率率相媲美。我们讨论纠缠探测器对所涉及的参数的不同值的响应的特定特征,并突出了热浴的效果,并在有限的时间间隔内开关检测器。
We investigate the radiative processes involving two entangled Unruh-DeWitt detectors that are moving on circular trajectories in $(2+1)$-dimensional Minkowski spacetime. We assume that the detectors are coupled to a massless, quantum scalar field, and calculate the transition probability rates of the detectors in the Minkowski vacuum as well as in a thermal bath. We also evaluate the transition probability rates of the detectors when they are switched on for a finite time interval with the aid of a Gaussian switching function. We begin by examining the response of a single detector before we go on to consider the case of two entangled detectors. As we shall see, working in $(2+1)$ spacetime dimensions makes the computations of the transition probability rates of the detectors relatively simpler. We find that the cross transition probability rates of the two entangled detectors can be comparable to the auto transition probability rates of the individual detectors. We discuss specific characteristics of the response of the entangled detectors for different values of the parameters involved and highlight the effects of the thermal bath as well as switching on the detector for a finite time interval.