Measurement of the mechanical reservoir spectral density in optomechanical system

TL;DR

This paper introduces a method to directly measure the reservoir spectral density in an optomechanical system by analyzing the emitted light spectrum, avoiding assumptions about the environment's spectral shape.

Contribution

A novel approach to reconstruct the reservoir spectral density in optomechanical systems without prior assumptions, using optical transmission analysis.

Findings

Effective spectral density reconstruction in single decoherence channels

Applicable to multiple decoherence channels

Works in weak optomechanical coupling regime

Abstract

To investigate the dynamical behavior of a quantum system embedded in a memory environment, it is crucial to obtain the knowledge of the reservoir spectral density. However, such knowledge is usually based on a priori assumptions about the environment. In this paper, we put forward a method to obtain key information about the reservoir spectral density of an optomechanical resonator without additional assumptions about the spectral shape. This is achieved by detecting and analysing the optical transmission rate of the emitted light. In the weak optomechanical singlephoton coupling regime, we establish a simple relation between the output light spectrum and the reservoir spectral density. This provide a straightforward and effective way for reconstructing the spectral density profile in single or even multiple decoherence channels.