Entanglement harvesting of circularly accelerated detectors with a reflecting boundary

Abstract

We study the properties of the transition probability for a circularly accelerated detector that interacts with the massless scalar fields in the presence of a reflecting boundary. As the trajectory radius increases, the transition probability may exhibit some peaks under specific conditions, which can lead to the possibility of the identical result for different trajectory radius with the same acceleration and energy gap. These behaviors can be characterized by certain critical values. Furthermore, we analyze the entanglement harvesting phenomenon for two circularly accelerated detectors with a boundary. We consider that the two detectors are rotating around a common axis with the same acceleration, trajectory radius and angular velocity. When the detectors are close to the boundary, there may exist two peaks in entanglement harvesting. Interestingly, as trajectory radius increases, entanglement harvesting in some situations first decreases to zero, then remains zero, and finally increases to a stable value. Our results show that the features observed properties of the detectors are closely related to the vacuum fluctuations of the field and states of the detectors. Under appropriate conditions, circular motion can be used to simulate the results of uniform acceleration.