标题： (2+1) 维闵可夫斯基时空圆轨道上单个探测器和纠缠探测器的辐射过程 显示英文标题

标题： Radiative processes of single and entangled detectors on circular trajectories in (2+1) dimensional Minkowski spacetime

摘要： 我们研究了涉及两个处于纠缠态的Unruh-DeWitt探测器的辐射过程，这些探测器在$(2+1)$维闵可夫斯基时空中的圆周轨迹上运动。我们假设探测器耦合到一个无质量的量子标量场，并计算探测器在闵可夫斯基真空以及热浴中的跃迁概率率。我们还利用高斯切换函数辅助，在有限时间间隔内开启探测器时评估其跃迁概率率。我们首先考察单个探测器的响应，然后考虑两个纠缠探测器的情况。正如我们将看到的，使用$(2+1)$维时空进行计算使探测器的跃迁概率率相对简单化。我们发现，两个纠缠探测器的交叉跃迁概率率可以与单个探测器的自跃迁概率率相当。我们讨论了参数不同取值下纠缠探测器响应的具体特征，并强调了热浴以及有限时间间隔内开启探测器的影响。 显示英文摘要

摘要： 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.