Gravity-induced entanglement between two massive microscopic particles in curved spacetime: I.The Schwarzschild background

TL;DR

This paper proposes a scheme to observe gravity-induced entanglement between microscopic particles in curved spacetime, extending previous experiments to astrophysical contexts and highlighting potential for future quantum gravity detection.

Contribution

It introduces a generalized framework for gravitational entanglement in curved spacetime, applicable to astrophysical phenomena, and predicts observable spectra for experimental validation.

Findings

Gravitational fields in curved spacetime can induce entanglement between particles.

Observable entanglement can occur even with particles smaller than mesoscopic masses.

Characteristic spectra of quantum gravity-induced entanglement are derived for various scenarios.

Abstract

The experiment involving the entanglement of two massive particles through gravitational fields has been devised to discern the quantum attributes of gravity. In this paper, we present a scheme to extend this experiment's applicability to more generalized curved spacetimes, with the objective of validating universal quantum gravity within broader contexts. Specifically, we direct our attention towards the quantum gravity induced entanglement of mass (QGEM) in astrophysical phenomena, such as particles traversing the interstellar medium. Notably, we ascertain that the gravitational field within curved spacetime can induce observable entanglement between particle pairs in both scenarios, even when dealing with particles significantly smaller than mesoscopic masses. Furthermore, we obtain the characteristic spectra of QGEM across diverse scenarios, shedding light on potential future experimental examinations. This approach not only establishes a more pronounced and extensive manifestation of the quantum influences of gravity compared to the original scheme but also opens avenues for prospective astronomical experiments. These experiments, aligned with our postulates, hold immense advantages and implications for the detection of quantum gravity and can be envisioned for future design.