双重光力学诱导透明和放大的局域调制

发布时间：2018-05-24 03:40

本文选题：双模光力学系统 + 光力学诱导放大　；参考：《四川师范大学》2017年硕士论文

【摘要】：光力学系统(Optomechanical systems,简称OMS)是由固定的全反射镜和可移动反射镜组成,其中可移动反射镜通过辐射压力与光学腔场相互耦合。目前光力学系统在物理学中的不同研究方向都有着潜在的应用价值,例如纳米力学振子制冷、宏观力学振子和腔场之间的纠缠、光力学诱导透明(Optomechanically induced transparency,简称OMIT)、量子非线性问题等。本文主要研究了双模光力学系统中双重光力学诱导透明和放大的调制,以及利用左右代数动力学方法计算光力学系统含时的解析解。具体研究工作包括:1、我们考虑探测光在具有力学耦合的光力系统中的光力学诱导透明,该系统中两个耦合的纳米力学振子分别被与时间相关的外力驱动。研究发现:振子之间力学相互作用可以将通常的单模光力学系统的透明窗口分成两部分,然后导致双重光力学诱导透明的出现。两个透明点位置之间的距离(最大透明度的频率)由力学相互作用幅度确定。这可以通过光力学缀饰模式的图像来解释,其类似于相干原子中相互作用的暗态共振。另外,双透明光谱中的两个最大透明幅度将随力学振子上的驱动外力增加而改变:通过改变耦合力学振子上的驱动外力,会使右边的最大透明增强,并产生光放大;但是,该驱动外力抑制双透明窗口中的左边最大透明。最后,研究发现双重光力学诱导透明或放大将会随着驱动力的初始相位的改变呈周期为2?的振荡。这些研究将有助于更灵活地控制基于光力学系统的多通道光通信。2、我们采用左右代数动力学方法计算光力学系统约化密度算符方程,从而求得了系统含时的解析解,并得到了系统光子数的解析式。该方法不仅能够比较全面考察环境对系统的影响,同时可以很方便求解含时或者不含时系统的解。
[Abstract]:The optomechanical system (OMSS) is composed of a fixed full mirror and a movable mirror, in which the movable mirror is coupled with the optical cavity field through the radiation pressure. At present, different research directions of photomechanics system have potential application value, such as nano-mechanical oscillator refrigeration, entanglement between macroscopic mechanical oscillator and cavity field. Optomechanically induced transparency, quantum nonlinear problems, etc. In this paper, the modulation of transparency and amplification induced by double photomechanics in a two-mode photomechanical system is studied, and the time-dependent analytical solution of the system is calculated by using the left and right algebraic dynamics method. The specific research work includes: 1, we consider the photomechanically induced transparency of detecting light in a mechanically coupled photodynamic system, in which two coupled nanomechanical oscillators are driven by time-dependent external forces respectively. It is found that the mechanical interaction between the oscillators can divide the transparent window of the ordinary single-mode photomechanical system into two parts, which leads to the appearance of double-photomechanically induced transparency. The distance between the positions of two transparent points (the frequency of maximum transparency) is determined by the amplitude of mechanical interaction. This can be explained by the image of the photomechanical decoration mode, which is similar to the dark resonance of the interaction in coherent atoms. In addition, the two maximum transparent amplitudes in the double transparent spectrum will change with the increase of the driving external force on the mechanical oscillator: by changing the driving external force on the coupling mechanical oscillator, the maximum transparency on the right side will be enhanced and the light will be amplified; however, The driving force suppresses maximum left transparency in the double transparent window. Finally, it is found that the double photomechanically induced transparency or amplification will change with the initial phase of the driving force in a period of 2? Oscillation. These studies will help to control the multichannel optical communication based on the optomechanical system more flexibly. We use the left and right algebraic dynamics method to calculate the reduced density operator equation of the optomechanical system and obtain the time-dependent analytical solution of the system. The analytical formula of the photon number of the system is obtained. This method can not only comprehensively investigate the influence of environment on the system, but also can solve the time-dependent and time-free solutions of time-dependent systems.
【学位授予单位】：四川师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O43

【参考文献】