# Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers

## TL;DR

This paper extends a formalism to analyze how relativistic acceleration affects entanglement in two-mode Gaussian quantum states in 3+1 dimensions, focusing on observers with different acceleration trajectories.

## Contribution

It generalizes a 1+1-dimensional formalism to 3+1 dimensions and studies entanglement between accelerating observers in various configurations.

## Key findings

- Entanglement is affected by the observers' acceleration and trajectory.
- The formalism allows analysis of entanglement in more realistic 3+1-dimensional spacetime.
- Results provide insights into relativistic quantum information in accelerated frames.

## Abstract

We generalize $1+1$-dimensional formalism derived by Ahmadi et. al. [Phys. Rev. D \textbf{93}, 124031] to investigate an effect of relativistic acceleration on localized two-mode Gaussian quantum states in $3+1$-dimensional spacetime. The following framework is then used to analyze entanglement of the Minkowski vacuum as witnessed by two accelerating observers that move either collinearly or noncollinearly.