Eur. Phys. J. D (2021) 75: 238
https://doi.org/10.1140/epjd/s10053-021-00245-x

Regular Article – Quantum Optics

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

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

^b zhangzijing@hit.edu.cn
^c zhaoyuan@hit.edu.cn

Received: 13 July 2021
Accepted: 11 August 2021
Published online: 1 September 2021

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.