Effect of spacetime dimensions on quantum entanglement between two uniformly accelerated atoms

TL;DR

This paper explores how increasing spacetime dimensions affect the entanglement dynamics of two uniformly accelerated atoms, revealing that higher dimensions slow entanglement change but reduce its amount, with implications for the Unruh effect.

Contribution

It provides a detailed analysis of entanglement evolution across different spacetime dimensions for various initial states, including the impact of massive fields and the anti-Unruh effect.

Findings

Entanglement range expands with higher dimensions.

Amount of entanglement decreases as dimensions increase.

Change in entanglement becomes slower over time in higher dimensions.

Abstract

We investigate the entanglement dynamics for a quantum system composed of two uniformly accelerated Unruh-DeWitt detectors in different spacetime dimensions. It is found that the range of parameters in which entanglement can be generated is expanded but the amount of generated entanglement is decreased with the increasing spacetime dimension, by calculating the evolution of two-atom states using the method for open quantum systems. We study the entanglement evolution between two accelerated atoms for different initial two-atom states, and the influence of corresponding spacetime dimensions for every initial state is discussed. When the spacetime dimensions increase, the change of entanglement becomes slower with time. The influence of spacetime dimensions on the change of entanglement also expands to the case of the massive field. The time delay for entanglement generation is shown in different spacetime dimensions. In particular, entanglement decreases more quickly with the increasing spacetime dimensions compared with that in the case of the massless field. The recent found anti-Unruh effect is discussed, and a novel and interesting phenomenon is found that the Unruh effect in small spacetime dimensions can become the anti-Unruh effect in large spacetime dimensions with the same parameters.