Frequency-dependent rigidity in large-scale interferometric gravitational-wave detectors

TL;DR

This paper explores how electromagnetic rigidity in large-scale optical resonators, when detuned from their eigenfrequency, exhibits spectral dependence that can surpass Standard Quantum Limits in gravitational-wave detectors.

Contribution

It introduces the concept of frequency-dependent electromagnetic rigidity and its potential to improve sensitivity beyond quantum limits in gravitational-wave detection.

Findings

Electromagnetic rigidity depends on the spectral detuning from eigenfrequency.

Detuned resonators can achieve sensitivity surpassing Standard Quantum Limits.

Spectral dependence enables enhanced measurement precision.

Abstract

Electromagnetic rigidity which exists in large-scale optical resonators if pumping frequency is detuned from the eigenfrequency of resonator have sophisticated spectral dependence which allows to obtain sensitivity better than the Standard Quantum Limits both for the free test mass and the harmonic oscillator.