Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators

TL;DR

This paper investigates quantum entanglement between two uniformly accelerated oscillators in thermal equilibrium with the Unruh heat bath, revealing conditions for entanglement and quantifying its maximum extent.

Contribution

It provides an exactly solvable model demonstrating entanglement dynamics between accelerated oscillators in a relativistic quantum field setting.

Findings

Oscillators become entangled shortly after closest approach.

Entanglement exists at multiple pairs of positions due to boost invariance.

Maximum entanglement is approximately 1.4 entanglement bits.

Abstract

We consider the quantum correlations, i.e. the entanglement, between two systems uniformly accelerated with identical acceleration a in opposite Rindler quadrants which have reached thermal equilibrium with the Unruh heat bath. To this end we study an exactly soluble model consisting of two oscillators coupled to a massless scalar field in 1+1 dimensions. We find that for some values of the parameters the oscillators get entangled shortly after the moment of closest approach. Because of boost invariance there are an infinite set of pairs of positions where the oscillators are entangled. The maximal entanglement between the oscillators is found to be approximately 1.4 entanglement bits.