Quantum estimation of rotational speed in optomechanics

doi:10.1088/1674-1056/ace3b7

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100602-100602.doi: 10.1088/1674-1056/ace3b7

Quantum estimation of rotational speed in optomechanics

Hao Li(李浩) and Jiong Cheng(程泂)^†

Department of Physics, Ningbo University, Ningbo 315211, China

收稿日期:2023-03-30 修回日期:2023-06-05 接受日期:2023-07-04 出版日期:2023-09-21 发布日期:2023-10-09
通讯作者: Jiong Cheng E-mail:chengjiong@nbu.edu.cn
基金资助:
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.

Quantum estimation of rotational speed in optomechanics

Hao Li(李浩) and Jiong Cheng(程泂)^†

Department of Physics, Ningbo University, Ningbo 315211, China

Received:2023-03-30 Revised:2023-06-05 Accepted:2023-07-04 Online:2023-09-21 Published:2023-10-09
Contact: Jiong Cheng E-mail:chengjiong@nbu.edu.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: optomechanical system, Fisher information

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.

Key words: optomechanical system, Fisher information

中图分类号: (Velocity, acceleration, and rotation)

06.30.Gv

42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps) 42.50.-p (Quantum optics)

Hao Li(李浩) and Jiong Cheng(程泂). Quantum estimation of rotational speed in optomechanics[J]. 中国物理B, 2023, 32(10): 100602-100602.

Hao Li(李浩) and Jiong Cheng(程泂). Quantum estimation of rotational speed in optomechanics[J]. Chin. Phys. B, 2023, 32(10): 100602-100602.

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Quantum estimation of rotational speed in optomechanics

Quantum estimation of rotational speed in optomechanics

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