Dual-recycled interference-based weak value metrology

TL;DR

This paper introduces a dual recycling interferometric scheme for weak-value-based measurements, significantly enhancing power and SNR, and overcoming previous system setup limitations to improve measurement precision.

Contribution

The paper proposes a novel dual recycling model that improves weak-value measurement sensitivity and robustness beyond existing power recycling methods.

Findings

Both power and SNR are greatly enhanced.

The scheme is effective over a wider range of parameters.

It relaxes previous system setup constraints.

Abstract

Weak-value-amplification permits small effects to be measured as observable changes at the sacrifice of power due to post-selection. The power recycling scheme has been proven to eliminate this inefficiency of the rare post-selection, thus surpassing the limit of the shot noise and improving the precision of the measurement. However, the improvement is strictly limited by the system setup, especially the system loss. Here we introduce a dual recycling model based on the interferometric weak-value-based deflection measurement. Two mirrors, the power-recycling mirror and signal-recycling mirror, are placed at the bright and dark port of the interferometer respectively, creating a composite resonator. The results show that both the power and the signal-to-noise ratio (SNR) are greatly enhanced in a wider range of experimental parameters compared to the power-recycling scheme. This work considerably loosens the constraint of the system setup and further explores the real advantage of weak measurement over traditional schemes.