Feasible generation of gravity-induced entanglement by using optomechanical systems

TL;DR

This paper explores the potential to detect gravity-induced entanglement using optomechanical systems, identifying feasible experimental parameters and demonstrating rapid entanglement generation through advanced measurement and control techniques.

Contribution

It presents the first detailed feasibility analysis for generating and detecting gravity-induced entanglement with optomechanical mirrors, incorporating continuous measurement, feedback, and Kalman filtering.

Findings

GIE can be generated faster than key time scales without optomechanical coupling.

Quantum-state squeezing via Kalman filtering enhances entanglement detection.

Feasible experimental parameters for S/N=1 are identified.

Abstract

We report the feasibility of detecting the gravity-induced entanglement (GIE) with optomechanical systems, which is the first investigation that clarifies the feasible experimental parameters to achieve a signal-to-noise ratio of S/N=1. Our proposal focuses on GIE generation between optomechanical mirrors, coupled via gravitational interactions, under continuous measurement, feedback control, and Kalman filtering process, which matured in connection with the field of gravitational wave observations. We solved the Riccati equation to evaluate the time evolution of the conditional covariance matrix for optomechanical mirrors that estimated the minimum variance of the motions. The results demonstrate that GIE is generated faster than a well-known time scale without optomechanical coupling. The fast generation of entanglement is associated with quantum-state squeezing by the Kalman filtering process, which is an advantage of using optomechanical systems to experimentally detect GIE.