Abstract
We consider the dynamics of a movable mirror in a Fabry-Perot cavity coupled through radiation pressure to the cavity field and in contact with a thermal bath at finite temperature. In contrast to previous approaches, we consider arbitrary values of the effective detuning between the cavity and an external input field. We analyse the radiation-pressure effect on the Brownian motion of the mirror and its significance in the density noise spectrum of the output cavity field. Important properties of the mirror dynamics can be gathered directly from this noise spectrum. The presented reconstruction provides an experimentally useful tool in the characterization of the energy and rigidity of the mirror as modified by the coupling with light. We also give a quantitative analysis of the recent experimental observation of self-cooling of a micromechanical oscillator.
Highlights
This mechanism, which applies to any optical force inducing changes in the intracavity field characterized by a finite response time, has so far been described in a fully classical picture
We have considered a driven Fabry-Perot cavity with a movable mirror, which is the paradigmatic setup for the study of radiation-pressure effects
Our study aimed at the analysis and reconstruction of the mirror dynamics under general conditions of detuning between the cavity and the driving field
Summary
Our work, based on the use of linearized Langevin equations, allows for the exact reconstruction of the quantum statistical properties of the system at hand [2] It both generalizes and completes previous investigations about optomechanical couplings, which have been mainly focused on effectively non-detuned light-cavity systems [6]. In addition to analysing the rich dynamics of a movable mirror coupled to light, our study provides an operative procedure to attain important figures of merit related to the light-induced modification of the mirror rigidity and mean energy Under this point of view, our work provides a quantum mechanical picture of the self-cooling mechanism. Phase-sensitive measurements of the extracavity density noise spectrum (DNS) result in the deduction of the noise properties of the mirror’s position quadrature This allows us to directly infer the modified rigidity of the mirror induced by radiation pressure.
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