Accelerated paths and Unruh effect II: finite time detector response in (Anti) de Sitter spacetime and Huygen's Principle

TL;DR

This paper investigates the finite-time response of an accelerated particle detector in (Anti) de Sitter spacetime, revealing a dimensional correspondence in fermionic responses and examining Huygen's principle in Unruh radiation.

Contribution

It demonstrates a dimensional equivalence in fermionic response functions and explores the validity of Huygen's principle in the context of Unruh radiation in curved spacetime.

Findings

Fermionic response in de Sitter space matches scalar response in doubled dimensions.

Analysis of Huygen's principle shows specific conditions in Unruh radiation.

Finite-time detector response provides insights into quantum field behavior in curved spacetime.

Abstract

We study the finite time response of an Unruh-DeWitt particle detector described by a qubit (two-level system) moving with uniform constant acceleration in maximally symmetric spacetimes. The $D$ dimensional massless fermionic response function in de Sitter (dS) background is found to be identical to that of a detector linearly coupled to a massless scalar field in $2D$ dimensional dS background. Furthermore, we visit the status of Huygen's principle in the Unruh radiation observed by the detector.