# Quantum limited measurements with lossy optical cavity enabled by dissipative optomechanical coupling

## TL;DR

This paper demonstrates that quantum-limited position measurements are achievable in a lossy optical cavity with dissipative optomechanical coupling, especially at critical coupling, offering advantages like noise rejection and stability.

## Contribution

It introduces a novel measurement scheme utilizing dissipative coupling at critical coupling, enabling quantum-limited measurements without dynamical backaction.

## Key findings

- Quantum-limited measurements possible at critical coupling
- Complete suppression of dynamical backaction and instability
- Rejection of classical laser noise and thermal fluctuations

## Abstract

We analyze a cavity optomechanical setup, in which position of an oscillator modulates optical loss. We show that in such setup quantum limited position measurements can be performed if the external cavity coupling rate matches the optical loss rate, a condition known as "critical coupling". Additionally, under this condition the setup exhibits a number of potential benefits for practical operation including the complete absence of dynamical backaction, and hence optomechanical instability, and rejection of classical laser noise and thermal fluctuations of cavity frequency from the measurement record. We propose two implementations of this scheme: one based on signal-recycled Michelson-type interferometer and the other on a tilted membrane inside Fabry-Perot cavity.