Weak force sensing based on optical parametric amplification in a cavity optomechanical system coupled in series with two oscillators

TL;DR

This paper proposes a novel cavity optomechanical scheme combining an optical parametric amplifier and a mechanical oscillator to suppress quantum noise, enhancing weak force sensing accuracy.

Contribution

It introduces a new combined approach using OPA and auxiliary oscillator for noise reduction in cavity optomechanics, surpassing individual methods.

Findings

Noise reduction depends on mode splitting of coupled oscillators.

OPA reduces photon number fluctuations and enhances cavity field squeezing.

The scheme improves force sensing sensitivity beyond existing methods.

Abstract

In the realm weak force sensing, an important issue is to suppress fundamental noise (quantum noise and thermal noise), as they limit the accuracy of force measurement. In this paper, we investigate a weak force sensing scheme that combines a degenerate optical parametric amplifier (OPA) and an auxiliary mechanical oscillator into a cavity optomechanical system to reduce quantum noise. We demonstrate that the noise reduction of two coupled oscillators depends on their norm mode splitting. and provide a classic analogy and quantum perspective for further clarification. Besides, the noise reduction mechanism of OPA is to reduce the fluctuation of photon number and enhance the squeezing of the cavity field. We propose a specific design aimed at enhancing the joint effect of both, beyond what can be achieved using OPA alone or two series coupled oscillators. This scheme provides a new perspective for deeper understanding of cavity field squeezing and auxiliary oscillator in force sensing.