Localised projective measurement of a relativistic quantum field in non-inertial frames

TL;DR

This paper presents a method for localised projective measurements of a quantum field in non-inertial frames, enabling analysis of effects like vacuum entanglement and Unruh temperature with respect to detector acceleration.

Contribution

It introduces a novel model for projective detection of localised field modes in arbitrary frames, linking observed quantum effects directly to the detector's proper acceleration.

Findings

Successfully extracts vacuum entanglement with counter-accelerating detectors

Estimates Unruh temperature for a single accelerated detector

Relates measurement effects to instantaneous proper acceleration

Abstract

We propose a scheme to study the effect of motion on measurements of a quantum field carried out by a finite-size detector. We introduce a model of projective detection of a localised field mode in an arbitrary reference frame. We apply it to extract vacuum entanglement by a pair of counter-accelerating detectors and to estimate the Unruh temperature of a single accelerated detector. The introduced method allows us to directly relate the observed effects with the instantaneous proper acceleration of the detector.