Entanglement optimization of filtered output fields in cavity optomechanics

TL;DR

This paper presents a method to optimize entanglement between filtered output fields in a three-mode cavity optomechanical system, providing analytical expressions for optimal conditions to enhance quantum information processing.

Contribution

It introduces analytical formulas for optimal time delay and coupling to maximize output entanglement in cavity optomechanics, advancing quantum information applications.

Findings

Optimal time delay expression derived for maximum entanglement.

Entanglement saturates at high optomechanical coupling.

Enhanced output entanglement with time delay improves quantum schemes.

Abstract

Output entanglement is a key element in quantum information processing. Here, we show how to obtain optimal entanglement between two filtered output fields in a three-mode optomechanical system. First, we obtain the key analytical expression of optimal time delay between the two filtered output fields, from which we can obtain the optimal coupling for output entanglement without time delay. In this case, our linearized analysis predicts that the entanglement saturates to an optimal value as the optomechanical coupling is increased. Furthermore, we obtain the optimal output entanglement with time delay. These results should be very helpful in conceiving new optomechanical schemes of quantum information processing with their efficiency depending critically on the degree of output entanglement.