New results on vacuum fluctuations: Accelerated detector versus inertial detector in a quantum field

TL;DR

This paper examines how the trajectory of a detector affects vacuum fluctuations in a quantum field, revealing differences between inertial and accelerated detectors that could impact quantum teleportation.

Contribution

It corrects previous calculations of detector trajectories and analyzes the impact of acceleration on vacuum fluctuations and two-point correlation functions.

Findings

Accelerated and inertial detectors show different two-point correlation functions.

A missing term in previous calculations was identified and corrected.

Proper acceleration influences quantum field correlations, relevant for quantum teleportation.

Abstract

We investigate the interaction between a moving detector and a quantum field, especially about how the trajectory of the detector would affect the vacuum fluctuations when the detector is moves in a quantum field (the Unruh effect). We focus on two moving detectors system for future application in quantum teleportation. We find that the rajectory of a uniformly accelerated detector in Rindler space cannot be extended to a trajectory in which a detector moves at constant velocity. Based on our previous work, we redo the calculations and find that a term is missing from the past calculations, and we also find that there are some restrictions on the values for the parameters in the solutions. In addition, without inclusion of the missing term, the variance from the quantum field for the inertial detector will be zero and is unlikely in such a system. When all these points are combined, there is a difference in the two-point correlation function between the inertial detector and the accelerated detector in the early-time region. The influence of proper acceleration can be seen in the two-point correlation functions. This might play a role in the quantum teleportation process and be worth studying thoroughly.