Numerical Evaluation of Accelerated-Assisted Entanglement Harvesting

TL;DR

This paper numerically investigates how acceleration influences entanglement harvesting between Unruh detectors, extending previous stationary phase approximation results to include the effect of the interaction window width.

Contribution

It advances prior work by performing numerical calculations beyond the stationary phase approximation, incorporating the effect of the interaction window width on entanglement harvesting.

Findings

Numerical results agree with earlier work in the large $c_3$ limit.

Dependence of entanglement on the parameter $c_3$ is characterized.

Extension beyond stationary phase approximation provides new insights.

Abstract

We consider acceleration-assisted entanglement harvesting as evidenced in correlations between two accelerating Unruh detectors coupled to a scalar field. We elaborate on earlier studies, which in a stationary phase approximation calculated the entanglement dependence on two parameters $c_1 = \kappa L$, and $c_2 = \kappa \Omega \sigma^2$, where $\kappa$ describes the detector's acceleration, $L$ their separation and $\Omega$ the energy splitting in a pair of two state Unruh detectors. Here, we go beyond the stationary phase approximation by performing a numerical calculation of entanglement harvesting, allowing us to present the dependence on $c_3 = \sigma \Omega$, where $\sigma$ denotes the half width of a Gaussian window function specifying the field-detector interaction, and show agreement with earlier work the large $c_3$ limit.