Reveal the lost entanglement for accelerated atoms in the high-dimensional spacetime

TL;DR

This paper explores how high-dimensional spacetime can fully recover entanglement lost due to acceleration in atoms, highlighting the roles of the anti-Unruh effect and specific acceleration ranges.

Contribution

It introduces a novel perspective that high-dimensional spacetime can restore entanglement lost from acceleration, and analyzes the anti-Unruh effect's partial recovery of entanglement.

Findings

Entanglement can be completely recovered in high-dimensional spacetime for moderate accelerations.

The anti-Unruh effect can partially recover lost entanglement within certain acceleration ranges.

Zero acceleration case provides analytical insight into entanglement dynamics.

Abstract

When atoms are accelerated in the vacuum, entanglement among atoms will degrade compared with the initial situation before the acceleration. In this paper, we propose a novel and interesting view that the lost entanglement can be recovered completely when the high-dimensional spacetime is exploited, in the case that the acceleration is not too large, since the entanglement loss rate caused by the large acceleration is faster than the recovery process. We also calculate the entanglement change caused by the anti-Unruh effect and found that the lost entanglement could just be recovered part by the anti-Unruh effect, and the anti-Unruh effect could only appear for a finite range of acceleration when interaction time scale is approximately shorter than the reciprocal of the energy gap in two dimensional spacetime. The limit case of zero acceleration is also investigated, which gives an analytical interpretation for the increase or recovery of entanglement.