# Toward Ultra-high Sensitivity in Weak Value Amplification

## TL;DR

This paper proposes an improved weak value amplification method that significantly enhances sensitivity for precision measurements, overcoming practical limitations of traditional approaches.

## Contribution

It introduces an alternative weak value amplification technique that achieves much higher sensitivity while remaining robust against practical imperfections.

## Key findings

- Sensitivity up to 5×10⁻⁴ attoseconds demonstrated
- Method outperforms standard weak value amplification in sensitivity
- Applicable to various small parameter measurements

## Abstract

Achieving higher sensitivity is an earnest purpose for precision metrology. As a response to this goal, the weak value amplification approach has been developed for measuring ultra-small physical effects, realizing sensitivity that had never been reached before. Encouraged by the successes, many efforts have been devoted to obtain ultimate sensitivity of weak value amplification. However, the benefit would be easily compromised in practice, because the cost of significant reduction on signal intensity leads to an ultra-low signal-to-noise ratio. In this work, we bridge this gap by proposing an alternative weak value amplification approach, which provides sensitivity several orders of magnitude higher than the standard approach while being compatible with practical imperfections. In the proof-of-principle experiment of measuring longitudinal phase change in time-domain, sensitivity up to $5\times10^{-4}$ attosecond is exemplified. Our approach can be applied to measure other small parameters with extremely high sensitivity, providing a new method for future precision metrology.