Pragmatic Implementation With Non-Gaussian Devices of Noise-Limited Weak Value Amplification

Hao Wu,Peng Wu,Chun-Lei Du,Li-Ping Xu,Tian-Ying Chang,Zheng-Chun Luo,Hao-Fei Shi,Jia-Heng Xie,Hong-Liang Cui

doi:10.1109/jphot.2021.3057671

Abstract

An effective approach for general measurement based on weak value amplification using non-Gaussian broadband light sources is demonstrated. This scheme can reduce the difficulty of preparing the measurement apparatus and correcting the systematic error caused by the imperfection of device's wave function, thus making the weak-value amplification scheme more convenient and robust for practical field applications. The influence of several common noise sources in a general application based on weak value amplification is analyzed theoretically and examined experimentally. A purely imaginary weak-value phase measurement system is considered for the noise model verification experimentally. In this we show how to optimize the precision of measurement in a unique solution that takes into account the interplay between precision and uncertainty, and explicate the ramifications of such a compromising and pragmatic approach.

Highlights

Weak measurement theory was advanced in 1988 by Aharonov, Albert and Vaidman (AAV) as a way to amplify the pointer shift in quantum measurement systems [1]
How to maintain a reasonable sensitivity to achieve the best precision is worth a closer examination. We undertake such a discussion by analyzing the prototypical example of an optical phase measurement system based on weak-value amplification (WVA), where the optical frequency is chosen as the device variable, and the relative phase shift can be estimated by measuring the shift of the frequency expectation value [20]–[23]
We have discussed the measurement precision of a noise-limited phase measurement system based on WVA

Summary

Introduction

Weak measurement theory was advanced in 1988 by Aharonov, Albert and Vaidman (AAV) as a way to amplify the pointer shift in quantum measurement systems [1]. How to maintain a reasonable sensitivity to achieve the best precision is worth a closer examination We undertake such a discussion by analyzing the prototypical example of an optical phase measurement system based on WVA, where the optical frequency is chosen as the device variable, and the relative phase shift can be estimated by measuring the shift of the frequency expectation value [20]–[23]. When the coupling strength, which is equivalent to a time delay, is tuned to the scale of 10−2 ps, a precision of 1.95 × 10−6 rad is acquired It is improved by one order comparing to similar methods such as the unoptimized wide-spectrum WVA phase measurement system (10−4 ∼ 10−5 rad [27], [42]), or the WVA phase measurement system using a monochromatic light source (10−5 rad [45]). We theoretically predict that when the number of the detector pixel is reduced to 20, a precision of 0.9 × 10−6 rad can be reached

WVA Theory for Non-Gaussian Distributed Broadband Light Sources

Precision Analysis of Phase Measurement

Optimal System Parameter Analysis

Conclusion