Absolute determination of the single-photon optomechanical coupling rate via a Hopf bifurcation

TL;DR

This paper introduces a novel method to determine the single-photon optomechanical coupling rate using a Hopf bifurcation, which simplifies the process and does not require bath temperature knowledge or calibration.

Contribution

The paper presents a new approach to measure the optomechanical coupling rate based on a Hopf bifurcation, validated both theoretically and experimentally.

Findings

Method accurately determines the coupling rate without temperature calibration.

Experimental validation confirms the theoretical framework.

Applicable to systems driven into a limit cycle by interaction.

Abstract

We establish a method for the determination of the single-photon optomechanical coupling rate, which characterizes the radiation pressure interaction in an optomechanical system. The estimation of the rate with which a mechanical oscillator, initially in a thermal state, undergoes a Hopf bifurcation, and reaches a limit cycle, allows us to determine the single-photon optomechanical coupling rate in a simple and consistent way. Most importantly, and in contrast to other methods, our method does not rely on knowledge of the system's bath temperature and on a calibration of the signal. We provide the theoretical framework, and experimentally validate this method, providing a procedure for the full characterization of an optomechanical system, which could be extended outside cavity optomechanics, whenever a resonator is driven into a limit cycle by the appropriate interaction with another degree of freedom.