Quantum entanglement of nontrivial spacetime topology

Zhiming Huang

doi:10.1140/epjc/s10052-020-7716-1

Abstract

We analyze the entanglement behaviors for two accelerating atoms interacting with a massless scalar field in the cosmic string spacetime. We calculate different correlation functions for different spacetime topologies. We find that entanglement behaviors are determined by the vacuum fluctuation, two-atom distance, acceleration and nontrivial spacetime topology. It is shown that great two-atom distance and acceleration have negative effect on quantum entanglement. The existence of string has profound impact on the atom-field interaction system and the entanglement behaviors. When deficit angle parameter nu =1 and atoms are far away from the string, the entanglement behaviors are the same with that of Minkowski spacetime. Our analysis about entanglement behaviors in cosmic string spacetime in principle is beneficial to sense the cosmic string spacetime topology structure and property, and discriminate the cosmic string spacetime and Minkowski spacetime. Besides, we also discuss the Unruh thermal effect in the cosmic string spacetime.

Highlights

The research shows that entanglement behaviors can be utilized to tell the difference between the de Sitter spacetime and the Minkowski spacetime
For better understanding the effects of the string, some quantum processes in the Minkowski spacetime have been extended to the cosmic string spacetime, for instance, radiative properties [17,18,19], Landau quantization [20,21], geometric phase [11,22], the Casimir effect [23] and so on
We have investigated the entanglement dynamics for two accelerating atoms immersing in a bath of fluctuating massless scalar field in the cosmic string spacetime

Summary

Introduction

The cosmic string spacetime is a typical curved spacetime with nontrivial topological defect. For better understanding the effects of the string, some quantum processes in the Minkowski spacetime have been extended to the cosmic string spacetime, for instance, radiative properties [17,18,19], Landau quantization [20,21], geometric phase [11,22], the Casimir effect [23] and so on. We will investigate the entanglement behaviors for two identical accelerating atoms immersing in fluctuating massless scalar field in the background of the cosmic string spacetime. Our investigation would throw light on the properties of the cosmic string universe and the quantum field theory of curved spacetime. Ci(jαβ) and Hi(jαβ) are determined by Fourier transforms G(αβ)(λ) and Hilbert transforms K(αβ)(λ) of field correlation function

Entanglement measure for atoms in the framework of open quantum system

Quantum entanglement under cosmic string spacetime

Conclusion