Gravity-induced entanglement in optomechanical systems

TL;DR

This paper provides an exact analysis of gravity-induced photon entanglement in optomechanical systems, identifying conditions for maximal entanglement and the impact of decoherence, advancing understanding of gravity's quantum effects.

Contribution

It offers an exact solution for gravity-induced entanglement dynamics in optomechanical systems, clarifying the entanglement generation mechanism and testing conditions.

Findings

Large photon entanglement driven by gravity-induced phase difference

Derived characteristic time for maximal entanglement

Evaluated decoherence effects on entanglement testing

Abstract

We investigate the phenomenon of gravity-induced entanglement in optomechanical systems. Assuming photon number conservation and the Newtonian potential expanded up to the quadratic order of the oscillator positions, we exactly solve the dynamics of the optomehcanical systems. Then, we find that the phase difference due to the Newtonian gravity leads to the large entanglement of photons in separated cavities. We clarify the generating mechanism of large gravity-induced entanglements in optomechanical systems in an exact manner. We also determine the characteristic time to generate the maximal entanglement of photons. Finally, by comparing the characteristic time with the decoherence time due to photon leakage, we evaluate the range of the dissipation rate required for testing the gravity-induced entanglement.