Abstract We study the quantum Fisher information (QFI) of the angular velocity of rotation in an optomechanical system. Based on the Gaussian measurements method, we derive the explicit form of a single-mode Gaussian QFI, which is valid for arbitrary angular velocity of rotation. The information about the angular velocity to be measured is contained in the optical covariance matrix, which can be experimentally determined via homodyne measurement. We find that QFI increases rapidly when driving the system close to the unstable boundary. This result can be attributed to the strong nonlinearity of the system at the unstable boundary. Our results indicate the possibility of using an optomechanical system for high precision detection of the angular velocity of rotation.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11704205 and 12074206), the National Natural Science Foundation of Zhejiang Province (Grant No. LY22A040005), and K.C.Wong Magna Fund in Ningbo University.
Hao Li(李浩) and Jiong Cheng(程泂) Quantum estimation of rotational speed in optomechanics 2023 Chin. Phys. B 32 100602
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