Uniformly accelerated quantum counting detector in Minkowski and Fulling vacuum states

In this work we revisit the discussion on the process of measurements by a detector in a uniformly accelerated rectilinear motion, interacting linearly with a massive scalar field. We employ the Glauber theory of photodetection. In this formalism, the detector, interacting with the field prepared in an arbitrary state of the Rindler Fock space, is excited only by absorption processes. Here we intend to point out the main differences between the Glauber model and the more commonly used Unruh-DeWitt model. To understand more plainly measurement processes within the Glauber framework, we investigate the transition probability rate associated with a uniformly accelerated broadband detector prepared in the ground state. We show how the Unruh-Fulling-Davies effect emerges within the rotating-wave approximation. We also consider the behavior of this broadband detector in a frame which is inertial in the remote past but in the far future becomes uniformly accelerated. The usage of the Glauber model helps to clarify the accelerated or inertial observer interpretations of the measurements performed by the accelerated detector.