Relativistic Dips in Entangling Power of Gravity

TL;DR

This paper investigates how quantum correlations and entanglement are affected by gravity, revealing conditions where entanglement is suppressed or reemerges due to gravitational effects and delocalization parameters.

Contribution

It demonstrates the existence of relativistic dips in gravitationally induced entanglement and identifies parameter regimes where entanglement vanishes or reappears.

Findings

Entanglement can be strongly suppressed at specific delocalization values.

A cancellation point indicates a transition towards classical behavior.

Quantum correlations reemerge at large and small delocalizations due to uncertainty and energy coupling.

Abstract

The salient feature of both classical and quantum gravity is its universal and attractive character. However, less is known about the behaviour and build-up of quantum correlations when quantum systems interact via graviton exchange. In this work, we show that quantum correlations can remain strongly suppressed for certain choices of parameters even when considering two adjacent quantum systems in delocalized states. Using the framework of linearized quantum gravity with post-Newtonian contributions, we find that there are special values of delocalization where gravitationally induced entanglement drops to negligible values, albeit non-vanishing. We find a pronounced cancellation point far from the Planck scale, where the system tends towards classicalization. In addition, we show that quantum correlations begin to reemerge for large and tiny delocalizations due to Heisenberg's uncertainty principle and the universal coupling of gravity to the energy-momentum tensor, forming a valley of gravitational entanglement.