A scheme is proposed to estimate the decay rates of the subsystem in an atom–cavity-optomechanical system which also is known as the hybrid optomechanical system. Quantum Fisher information and quantum Zeno effect (QZE) are investigated under different conditions. The results show that the estimation precision of the decay rates can reach \(9.64\times 10^{-6}\), \(3.49\times 10^{-4}\) and \(7.91\times 10^{-5}\), respectively. The Zeno–anti-Zeno crossover can be realized in the hybrid optomechanical system. We find that both QZE and quantum anti-Zeno effect (QAZE) are always beneficial to the estimation of the mechanical oscillator decay rate. However, when the cavity decay rate is estimated, QAZE may enhance or inhibit the estimation precision at the different time regions. The results provide some potential applications in quantum networks and quantum Zeno switch.

中文翻译：

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原子-腔-光机械系统中的高精度参数估计和芝诺-反芝诺交叉

提出了一种方案来估计原子腔光学机械系统中子系统的衰减率，该系统也被称为混合光学机械系统。在不同条件下研究了量子Fisher信息和量子芝诺效应（QZE）。结果表明，衰减率的估计精度可达\（9.64×10 ^ {-6} \），\（3.49×10 ^ {-4} \）和\ 7.91×10 ^ {- 5} \）， 分别。可以在混合光机械系统中实现Zeno-Anti-Zeno分频器。我们发现，QZE和量子反Zeno效应（QAZE）总是有益于机械振荡器衰减率的估计。但是，当估计空腔衰减率时，QAZE可能会增强或抑制不同时间区域的估计精度。结果为量子网络和量子芝诺开关提供了一些潜在的应用。