Cascaded Weak Measurements Amplification of Ultra-small Phases

TL;DR

This paper introduces a cascaded weak measurements amplification technique to enhance the detection of ultra-small phases, improving amplification capabilities for high-precision measurements like gravitational wave detection.

Contribution

The paper proposes a novel cascaded amplification method for weak measurements, deriving a formula to optimize the number of cascades for better phase amplification.

Findings

Enhanced amplification of ultra-small phases demonstrated.

Derived formula for optimal cascaded weak measurements.

Potential application in gravitational wave detection.

Abstract

The weak measurements based amplification of ultra-small phase was proposed in our previous work. Due to the technical imperfections, the ability of amplification is usually limited in practice. Here we introduce the concept of cascaded weak measurements amplification so that the ability of weak measurements amplification can be further improved. A formula of determining the cascaded number of weak measurements amplification is derived. The method presented here could be found useful in high precision measurement e.g., gravitational waves detection.