Inverted Oscillators for Testing Gravity-induced Quantum Entanglement

TL;DR

This paper proposes using inverted oscillators to enhance the detection of gravity-induced quantum entanglement, offering a potentially feasible experimental setup with improved resistance to decoherence.

Contribution

It introduces a novel approach using inverted oscillators for testing gravity-induced entanglement and suggests an optical levitation setup with anti-spring effects.

Findings

Inverted oscillators generate entanglement more quickly.

They are more resistant to environmental decoherence.

A proposed optical setup can realize this experimentally.

Abstract

In the quest for quantum gravity, we have lacked experimental verification, hampered by the weakness of gravity and decoherence. Recently, various experiments have been proposed to verify quantum entanglement induced by Newtonian gravitational interactions. However, they are not yet certainly feasible with existing techniques. To search for a new setup, we compute the logarithmic negativity of two oscillators with arbitrary quadratic potential coupled by gravity. We find that unstable inverted oscillators generate gravity-induced entanglement most quickly and are most resistant to decoherence from environmental fluctuations. As an experimental realization, we propose a setup of the optical levitation of mirrors with the anti-spring effect. To avoid decoherence due to photon shot noise, a sandwich configuration that geometrically creates the anti-spring is promising.