Amplification of Weak Forces via Parametric Interactions and Non-Markovian Effects in Cavity Optomechanics

TL;DR

This paper investigates weak force amplification in cavity optomechanics, demonstrating how non-Markovian environments and parametric interactions can significantly enhance amplification, with potential applications in quantum sensing.

Contribution

It extends weak-force amplification analysis to non-Markovian environments, revealing how environmental control can improve amplification via excitation backflow.

Findings

Amplification can be enhanced by tuning the environment from non-Markovian to Markovian regimes.

Control of the DOPA parameters enables amplification in non-Markovian regimes.

Environmental spectral width influences the transition and amplification efficiency.

Abstract

Weak force amplification describes the process of amplifying a faint low-frequency signal by means of an additional high-frequency modulation, which plays a vital role in quantum sensing and high-precision measurement. However, the potential enhancement of weak-force amplification in non-Markovian environments has received little attention. In this paper, we firstly study the amplification of weak forces within cavity-optomechanical systems incorporating a degenerate optical parametric amplifier (DOPA) under the Markovian assumption, which can be amplified via using two high-frequency signals via vibrational resonance through adjusting the strength and phase of the DOPA with different pumping frequencies. Moreover, we extend the study of the amplification of the weak force to the non-Markovian environment composed of an ensemble of infinite oscillators. We reveal that the amplification exhibits a conversion from the non-Markovian regime to Markovian regime by controlling environmental spectral width. Such a transition facilitates a remarkable improvement in amplification, and this enhancement originates from the excitation backflow generated via the interplay between the cavity and the non-Markovian environment. By controlling DOPA to amplify weak forces, the study achieves amplification in the non-Markovian regime, offering new directions for quantum optics research.