Quantum noise of a harmonic oscillator under classical feedback control

doi:10.1088/1674-1056/aba5fb

中国物理B ›› 2020, Vol. 29 ›› Issue (9): 90303-090303.doi: 10.1088/1674-1056/aba5fb

Quantum noise of a harmonic oscillator under classical feedback control

Feng Tang(汤丰), Nan Zhao(赵楠)

Beijing Computational Science Research Center, Beijing 100193, China

收稿日期:2020-04-06 修回日期:2020-06-25 接受日期:2020-07-15 出版日期:2020-09-05 发布日期:2020-09-05
通讯作者: Nan Zhao E-mail:nzhao@csrc.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11534002, U1930402, and U1930403).

Quantum noise of a harmonic oscillator under classical feedback control

Feng Tang(汤丰), Nan Zhao(赵楠)

Beijing Computational Science Research Center, Beijing 100193, China

Received:2020-04-06 Revised:2020-06-25 Accepted:2020-07-15 Online:2020-09-05 Published:2020-09-05
Contact: Nan Zhao E-mail:nzhao@csrc.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11534002, U1930402, and U1930403).

摘要/Abstract

摘要： Quantum sensing has been receiving researcher's attention these years due to its ultrahigh sensitivity and precision. However, the bandwidth of the sensors may be low, thus limiting the scope of their practical applications. The low-bandwidth problem is conquered by feedback control methods, which are widely utilized in classic control fields. Based on a quantum harmonic oscillator model operating near the resonant point, the bandwidth and sensitivity of the quantum sensor are analyzed. The results give two important conclusions: (a) the bandwidth and sensitivity are two incompatible performance parameters of the sensor, so there must be a trade-off between bandwidth and sensitivity in practical applications; (b) the quantum white noise affects the signal to be detected in a non-white form due to the feedback control.

关键词: quantum sensing, feedback, sensitivity, bandwidth

Abstract: Quantum sensing has been receiving researcher's attention these years due to its ultrahigh sensitivity and precision. However, the bandwidth of the sensors may be low, thus limiting the scope of their practical applications. The low-bandwidth problem is conquered by feedback control methods, which are widely utilized in classic control fields. Based on a quantum harmonic oscillator model operating near the resonant point, the bandwidth and sensitivity of the quantum sensor are analyzed. The results give two important conclusions: (a) the bandwidth and sensitivity are two incompatible performance parameters of the sensor, so there must be a trade-off between bandwidth and sensitivity in practical applications; (b) the quantum white noise affects the signal to be detected in a non-white form due to the feedback control.

Key words: quantum sensing, feedback, sensitivity, bandwidth

中图分类号: (Quantum information)

03.67.-a

87.19.lr (Control theory and feedback)

汤丰, 赵楠. Quantum noise of a harmonic oscillator under classical feedback control[J]. 中国物理B, 2020, 29(9): 90303-090303.

Feng Tang(汤丰), Nan Zhao(赵楠). Quantum noise of a harmonic oscillator under classical feedback control[J]. Chin. Phys. B, 2020, 29(9): 90303-090303.

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Quantum noise of a harmonic oscillator under classical feedback control

Quantum noise of a harmonic oscillator under classical feedback control

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