Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state

doi:10.1088/1674-1056/abe3e5

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 74202-074202.doi: 10.1088/1674-1056/abe3e5

Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state

Zhi-Yuan Wang(王志远), Zi-Jing Zhang(张子静)^†, and Yuan Zhao(赵远)^‡

Department of Physics, Harbin Institute of Technology, Harbin 150001, China

收稿日期:2020-12-02 修回日期:2021-01-19 接受日期:2021-02-07 出版日期:2021-06-22 发布日期:2021-06-26
通讯作者: Zi-Jing Zhang, Yuan Zhao E-mail:zhangzijing@hit.edu.cn;zhaoyuan@hit.edu.cn

Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state

Zhi-Yuan Wang(王志远), Zi-Jing Zhang(张子静)^†, and Yuan Zhao(赵远)^‡

Department of Physics, Harbin Institute of Technology, Harbin 150001, China

Received:2020-12-02 Revised:2021-01-19 Accepted:2021-02-07 Online:2021-06-22 Published:2021-06-26
Contact: Zi-Jing Zhang, Yuan Zhao E-mail:zhangzijing@hit.edu.cn;zhaoyuan@hit.edu.cn

摘要/Abstract

摘要： The precision measurement of Doppler frequency shifts is of great significance for improving the precision of speed measurement. This paper proposes a precision measurement scheme of tiny Doppler shifts by a parametric amplification process and squeezed vacuum state. This scheme takes a parametric amplification process and squeezed vacuum state into a detection system, so that the measurement precision of tiny Doppler shifts can exceed the Cramér-Rao bound of coherent light. Simultaneously, a simulation study is carried out on the theoretical basis, and the following results are obtained: for the signal light of Gaussian mode, when the amplification factor g=1 and the squeezed factor r=0.5, the measurement error of Doppler frequency shifts is 14.4% of the Cramér-Rao bound of the coherent light in our system. At the same time, when the local light mode and squeezed vacuum state mode are optimized, the measurement precision of this scheme can be further improved by $\sqrt {{\left( {2n + 1} \right)} / {\left( {n + 1} \right)}}$ times, where n is the mode-order of the signal light.

关键词: squeezed vacuum state, quantum metrology

Abstract: The precision measurement of Doppler frequency shifts is of great significance for improving the precision of speed measurement. This paper proposes a precision measurement scheme of tiny Doppler shifts by a parametric amplification process and squeezed vacuum state. This scheme takes a parametric amplification process and squeezed vacuum state into a detection system, so that the measurement precision of tiny Doppler shifts can exceed the Cramér-Rao bound of coherent light. Simultaneously, a simulation study is carried out on the theoretical basis, and the following results are obtained: for the signal light of Gaussian mode, when the amplification factor g=1 and the squeezed factor r=0.5, the measurement error of Doppler frequency shifts is 14.4% of the Cramér-Rao bound of the coherent light in our system. At the same time, when the local light mode and squeezed vacuum state mode are optimized, the measurement precision of this scheme can be further improved by $\sqrt {{\left( {2n + 1} \right)} / {\left( {n + 1} \right)}}$ times, where n is the mode-order of the signal light.

Key words: squeezed vacuum state, quantum metrology

中图分类号: (Quantum optics)

42.50.-p

42.50.St (Nonclassical interferometry, subwavelength lithography)

Zhi-Yuan Wang(王志远), Zi-Jing Zhang(张子静), and Yuan Zhao(赵远). Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state[J]. 中国物理B, 2021, 30(7): 74202-074202.

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Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state

Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state

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