Dynamics and Spectral Response of linear-quadratic optomechanical interaction: Effects of pure dephasing

TL;DR

This paper investigates how pure dephasing affects the decoherence dynamics and spectral response of a linear-quadratic optomechanical system, highlighting the influence of different coupling types on system behavior.

Contribution

It provides a detailed analysis of decoherence and spectral response in an optomechanical system with linear and quadratic couplings under pure dephasing, using non-stationary spectroscopy.

Findings

Decoherence rate impacts phonon number evolution

Spectral response varies with coupling type

Comparison of linear, quadratic, and combined couplings

Abstract

In this manuscript, the decoherence dynamics and spectral response of an optomechanical system, with linear and quadratic couplings, is addressed. The decoherence considered arises from pure dephasing, described by the Milburn stochastic evolution of the Schr\"odinger equation. In the first part of the manuscript, it is shown how the decoherence rate influences the evolution of the number of phonons, and the quadrature of the mechanical resonator. In the second part of the manuscript, an attempt to look at the spectral response of the mechanical part of the system is given using non-stationary spectroscopy. It is emphasized the response of the resonator in its equilibrium position when a single photon excitation in the cavity field is prepared. Coherent states are also considered in the cavity field and the mechanical resonator. Results and discussion comparing the inclusions of the linear, quadratic, and linear-quadratic couplings are given.