Genuine tripartite entanglement in graviton-matter interactions

TL;DR

This paper demonstrates the existence of genuine tripartite non-Gaussian entanglement in a quantum gravitational system involving a harmonic oscillator and a gravitational wave, using a novel entanglement witness.

Contribution

Introduces a new entanglement witness tailored for graviton-matter interactions and proves the generation of genuine multipartite entanglement in this context.

Findings

Genuine tripartite non-Gaussian entanglement exists in the system.

The new entanglement witness detects entanglement in the graviton-matter Hamiltonian.

Entanglement is generated from the ground state of the system.

Abstract

We demonstrate the existence of genuine tripartite non-Gaussian entanglement in a quantum gravitational system formed by a quantum harmonic oscillator coupled to a single frequency of a quantized gravitational wave. For this purpose, we introduce a new entanglement witness, well-suited for the graviton-matter interaction Hamiltonian analysed here. We show that the witness is non-zero for the three-mode states generated by the Hamiltonian when the system starts in the ground state, thus proving the generation of genuine multipartite quantum entanglement at the most fundamental level of theoretical graviton-matter interactions.