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High-precision measurement of tiny difference frequency via weak value amplification

  • Regular Article – Quantum Optics
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Abstract

It is of great significance to measure tiny difference frequency precisely, which has important application value for Doppler velocity measurement. However, the systematic error caused by non-ideal detectors during measurements limits the improvement of precision, and the systematic error cannot be reduced by increasing the number of measurements. Aiming at the systematic error, the weak value amplification scheme can reduce it effectively. This paper proposes a precise measurement scheme for tiny difference frequency between Fock state photons based on weak value amplification technology. Meanwhile, we use the theory of error to discuss the measurement precision of this scheme, and finish simulation research on the theoretical basis. Simulation results show that weak value amplification can reduce the systematic error of the measurement system and improve the response sensitivity of non-ideal detectors. By adjusting the transmission and reflection coefficients of the beam splitter in our scheme, the response sensitivity of difference frequency can improve 1000 times compared with that of classical schemes. When the systematic error of the measurement system is the main source of error in the measurement process, the weak value amplification scheme can obtain higher precision.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data.]

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Acknowledgements

This research was supported by National Natural Science Foundation of China (62075049) and (61701139).

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Authors and Affiliations

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

    Zhiyuan Wang, Zijing Zhang & Yuan Zhao

Authors
  1. Zhiyuan Wang
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  2. Zijing Zhang
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  3. Yuan Zhao
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All authors contribute equally to the paper.

Corresponding authors

Correspondence to Zijing Zhang or Yuan Zhao.

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Wang, Z., Zhang, Z. & Zhao, Y. High-precision measurement of tiny difference frequency via weak value amplification. Eur. Phys. J. D 75, 238 (2021). https://doi.org/10.1140/epjd/s10053-021-00245-x

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00245-x

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