Uniformly accelerated quantum counting detector in Minkowski and Fulling vacuum states

Abstract

In this work we discuss the process of measurements by a detector in an uniformly accelerated rectilinear motion, interacting linearly with a massive scalar field. The detector model for field quanta is a point-like system with a ground state and a continuum of unbounded states. We employ the Glauber theory of photodetection. In an uniformly accelerated reference frame, the detector, interacting with the field prepared in an arbitrary state of the Rindler Fock space, is excited only by absorption processes. For the uniformly accelerated detector prepared in the ground state, we evaluate the transition probability rate in three important situations. In the first one the field is prepared in an arbitrary state of $n$-Rindler quanta, then we consider a thermal Rindler state at a given temperature ${\beta }^{-1}$, and finally the case in which the state of the field is taken to be the Minkowski vacuum. The well-known result that the latter excitation rates are equal is recovered. Accelerated or inertial observer interpretations of the measurements performed by the accelerated detector is presented. Finally, we investigate the behaviour of the detector in a frame which is inertial in the remote past but in the far future becomes uniformly accelerated. For the massless case, we obtain that the transition probability rate of the detector in the far future is tantamount to the analogous quantity for the detector at rest in a non-inertial reference frame interacting with the field prepared in an usual thermal state.

arXiv commentAccepted for publication in Physical Review A

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Cited by in corpus (6)

• Violation of equivalence in an accelerating atom-mirror system in the generalized uncertainty principle framework
• Entanglement dynamics: Generalized master equation for uniformly accelerated two-level systems
• Fulling-Davies-Unruh effect for accelerated two-level single and entangled atomic systems
• Single and entangled atomic systems in thermal bath and the Fulling-Davies-Unruh effect
• A dynamic theory of entanglement for uniformly accelerated atoms
• Time-dependent accelerated Unruh-DeWitt detector without event horizon