发表机构
Mohammed V University in Rabat; Ibnou Zohr University; Hamedan University of Technology（拉巴特穆罕默德五世大学; 伊本·祖赫尔大学; 哈马丹理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在耦合腔光力学平台中，结合参量放大与相干光反馈，实现了光力学耦合强度和腔耗散率的多参数量子估计，明确了两类调控机制对估计精度的影响及最优参数区域。
AI 中文摘要
开放光力学系统中的多参数量子估计本质上受限于耗散、热涨落和测量不相容性。本研究中，我们探究了一种耦合腔光力学平台，其中两个机械模式与受驱光腔、双模压缩真空、腔内简并参量放大以及相干光反馈相互作用。利用连续变量高斯态形式，我们推导了线性化量子朗之万动力学和稳态协方差矩阵，并评估了与同时估计光力学耦合强度和腔耗散率相关的量子费舍尔信息矩阵。我们采用对称对数导数（SLD）和右对数导数（RLD）形式表征精度界，并以$\boldsymbol{\rm \textit{B}}_{\rm \textit{MI}}=\text{max}\{\boldsymbol{\rm \textit{B}}_{\rm \textit{S}},\boldsymbol{\rm \textit{B}}_{\rm \textit{R}}\}$作为SLD/RLD框架内的比较性品质因数。研究发现，参量放大可大幅降低上述限制，在宽范围工作条件下实现多参数灵敏度的提升。相比之下，相干反馈会对估计精度产生非单调的改变，其效果对反馈反射率、相位、压缩强度和热占据数敏感依赖。该行为表明，相干反馈并非简单的增强或削弱机制，而是用于调控光力学态的量子涨落和参数依赖关联的可调资源。我们进一步分析了瞬态和稳态区域，确定了压缩和参量放大提供最大计量增益的参数区域。
英文摘要
Multiparameter quantum estimation in open optomechanical systems is fundamentally constrained by dissipation, thermal fluctuations, and measurement incompatibility. In this work, we investigate a coupled cavity optomechanical platform in which two mechanical modes interact with driven optical cavities, two mode squeezed vacuum, intracavity degenerate parametric amplification, and coherent optical feedback. Using the continuous variable Gaussian state formalism, we derive the linearized quantum Langevin dynamics and steady state covariance matrix and evaluate the quantum Fisher information matrices associated with simultaneous estimation of the optomechanical coupling strength and cavity dissipation rate. We characterize the precision bounds using the symmetric and right logarithmic derivative formalisms and employ $\mathcal{B}_{\rm MI}=\max\{\mathcal{B}_S,\mathcal{B}_R\}$ as a comparative figure of merit within the SLD/RLD framework. We find that parametric amplification can substantially reduce the most informative bound, $\mathcal{B}_{\rm MI}$, thereby enhancing multiparameter estimation precision over a broad range of operating conditions. Coherent feedback can further reduce $\mathcal{B}_{\rm MI}$ and improve the estimation precision, particularly in the strong feedback regime. Moreover, the simultaneous presence of coherent feedback, parametric amplification, and squeezed light injection provides a combined mechanism for controlling quantum fluctuations and parameter dependent correlations, leading to enhanced and more robust multiparameter estimation. We further analyze the dynamical and steady state regimes to identify the parameter regions in which these quantum resources provide the largest metrological gain. Our results establish coupled cavity optomechanics as a flexible platform for quantum-noise engineering in multiparameter sensing.
Comments19 pages, 9 figures
