论文标题
绿色的功能方法，用于驱动耗散光学系统的线性响应
A Green's function approach to the linear response of a driven dissipative optomechanical system
论文作者
论文摘要
在本文中，我们首先试图阐明文献中在标准线性响应理论（LRT）的概括中存在的歧义，这基本上是针对海森伯格图片中开放量子系统理论的封闭系统制定的。然后，我们使用所谓的广义LRT研究了驱动 - 驱动性光学机械系统（OMS）对弱时间依赖性扰动的线性响应。它显示了如何从海森伯格图片中的量子langevin方程（QLS）获得标准OMS作为开放量子系统的运动功能方程。获得的结果解释了大量现象，包括抗谐振，正常模式分裂和光学机械诱导的透明度（省略）。此外，明确解释了在红色或蓝色的失调方案中放大或衰减的Stokes或Anti-Stokes侧带的原因，这是完全巧合的，尤其是在弱耦合方案中，以及拉曼散落的图片。
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.
