Entanglement Harvesting of Inertially Moving Unruh-DeWitt Detectors in Minkowski Spacetime

TL;DR

This paper studies how relative motion affects entanglement harvesting between two Unruh-DeWitt detectors in Minkowski spacetime, revealing velocity-dependent behavior of entanglement that depends on detector parameters.

Contribution

It introduces a detailed analysis of entanglement harvesting with moving detectors, showing how Negativity varies with relative velocity, energy gaps, and separation, which was not previously characterized.

Findings

Negativity depends non-monotonically on relative velocity.

Maximum entanglement occurs at an optimal velocity before decreasing.

Higher detector energy gaps and larger separations reduce harvested entanglement.

Abstract

We investigate the effects of relative motion on entanglement harvesting by considering a pair of Unruh-Dewitt detectors moving at arbitrary, but independent and constant velocities, both linearly interacting with the vacuum scalar field. Working within the weak coupling approximation, we find that the Negativity is a (non-elementary) function of the relative velocity of the detectors, as well as their energy gaps and minimal separation. We find parameter regions where Negativity increases with velocity up to a maximum and then decreases, reaching zero at some sublight velocity. At any given relative velocity, the harvested entanglement is inversely correlated with the detector energy gap (at sufficiently high values) and the distance of closest approach of two detectors.