A Green's function approach to the linear response of a driven dissipative optomechanical system. (26th April 2021)

• Record Type: Journal Article
• Authors: Motazedifard, Ali; Dalafi, A; Naderi, M H
• Is Part Of: Journal of physics. Volume 54:Number 21(2021)
• Publication Date: 2021-04-26
• Subjects: open quantum systems -- linear response theory -- Green's function -- optomechanics -- quantum optics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/abf3e9
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: In this paper, we first try to shed light on the ambiguities that exist in the literature in the generalization of the standard linear response theory (LRT) which has been basically formulated for closed systems to the theory of open quantum systems in the Heisenberg picture. Then, we investigate the linear response of a driven-dissipative optomechanical system (OMS) to a weak time-dependent perturbation using the so-called generalized LRT. It is shown how the Green's function equations of motion of a standard OMS as an open quantum system can be obtained from the quantum Langevin equations (QLEs) in the Heisenberg picture. The obtained results explain a wealth of phenomena, including the anti-resonance, normal mode splitting and the optomechanically induced transparency (OMIT). Furthermore, the reason why the Stokes or anti-Stokes sidebands are amplified or attenuated in the red or blue detuning regimes is clearly explained which is in exact coincidence, especially in the weak-coupling regime, with the Raman-scattering picture.