This study presents an effective scheme for estimating the weak Coulomb force through a hybrid optomechanical system. In this scheme, information regarding the weak Coulomb force can be transferred to the cavity field through the coupling between the cavity field and the mechanical oscillator, and it can be fully extracted from the cavity field when the cavity field and the mechanical oscillator are disentangled. We employed the quantum Fisher information and the error propagation formula to analyze the effects of the coupling strength, the cavity average photon number and the Coulomb force on the estimation precision. We observed that the estimation precision can be improved by increasing the coupling strength. In addition, when choosing the proper value of average photon number and the proper range of the Coulomb force, we can approach the theoretical-attainable precision determined by quantum Fisher information. Particularly, the magnitude of the estimated weak Coulomb force ...

中文翻译：

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通过光机系统估算库仑力

这项研究提出了一种通过混合光机系统估算弱库仑力的有效方案。在该方案中，关于弱库仑力的信息可以通过腔场和机械振荡器之间的耦合传递到腔场，并且当腔场和机械振荡器解开时，可以从腔场中完全提取该信息。我们利用量子费舍尔信息和误差传播公式来分析耦合强度，腔平均光子数和库仑力对估计精度的影响。我们观察到，可以通过提高耦合强度来提高估计精度。此外，选择的平均光子数和库仑力的适当的范围内为适当的值时，我们可以接近量子费舍尔信息确定的理论上可达到的精度。特别是，估计的弱库仑力的大小...