Numerical Evaluation of Accelerated-Assisted Entanglement Harvesting

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.