Accelerated paths and Unruh effect. Part I. Scalars and fermions in Anti De Sitter spacetime

Abstract

We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for the scalar field has been obtained with different levels of non-linearity in even dimensional AdS spacetime. We also showed how the response of the accelerated Unruh detector coupled quadratically to massless Dirac field in D dimensional (D ≥ 2) AdS spacetime is proportional to that of a detector linearly coupled to a massless scalar field in 2D dimensional AdS spacetime. Here, the fermionic and scalar matter field is coupled minimally and conformally to the background AdS metric, respectively. Finally, we discuss about the extension of the results for more general stationary motion.

Accelerated paths and Unruh effect: finite time detector response in (anti) de Sitter spacetime and Huygen’s principle

“…Our previous article explained how non-linearity affects the statistics inversion in AdS spacetime. Of course, when the curvature of the spacetime was approaching zero, we reproduced the known results of detector response in flat spacetime [6,23] but the similar setup in the dS background still needs to be discussed. In this article, we analyze the effects of non-linearity and develop the calculation of the fermionic response function in the dS background.…”

“…But it is a natural question to ask if a similar conclusion also arises when the fermionic field is coupled to curved spacetime. In our previous article [23] we explained how the same mechanism works in AdS background instead. Another significant observation made by several authors [24,25] is the apparent statistics inversion in the Unruh radiation in odd dimensional spacetime.…”

“…In this article, we analyze the effects of non-linearity and develop the calculation of the fermionic response function in the dS background. In our earlier work and many other studies relating to the UDW detector, we investigated the response function where the detector is "turned on" for an infinite amount of time [6,21,23]. In practice it is impossible to turn on the detector for infinite time [20]; therefore, the finite time response has been rigorously investigated in the context of flat space time [26].…”

Decoherence and thermalization of Unruh-DeWitt detector in arbitrary dimensions

“…Previous studies have focused more on the population and heat exchange between the detector and the quantum field theory in different backgrounds, e.g. [20][21][22][23][24][25][26][27][28][29][30][31] and references therein, while in this work we are more interested in the decoherence of the detector.…”

Decoherence and thermalization of Unruh-DeWitt detector in arbitrary dimensions

“…Previous studies have focused more on the population and heat exchange between the detector and the quantum field theory in different backgrounds, e.g. [20][21][22][23][24][25][26][27][28][29][30] and references therein, while in this work we are more interested in the decoherence of the detector.…”