本文選題：雙模光力學(xué)系統(tǒng) + 光力學(xué)誘導(dǎo)放大��； 參考：《四川師范大學(xué)》2017年碩士論文

【摘要】：光力學(xué)系統(tǒng)(Optomechanical systems,簡稱OMS)是由固定的全反射鏡和可移動反射鏡組成,其中可移動反射鏡通過輻射壓力與光學(xué)腔場相互耦合。目前光力學(xué)系統(tǒng)在物理學(xué)中的不同研究方向都有著潛在的應(yīng)用價值,例如納米力學(xué)振子制冷、宏觀力學(xué)振子和腔場之間的糾纏、光力學(xué)誘導(dǎo)透明(Optomechanically induced transparency,簡稱OMIT)、量子非線性問題等。本文主要研究了雙模光力學(xué)系統(tǒng)中雙重光力學(xué)誘導(dǎo)透明和放大的調(diào)制,以及利用左右代數(shù)動力學(xué)方法計(jì)算光力學(xué)系統(tǒng)含時的解析解。具體研究工作包括:1、我們考慮探測光在具有力學(xué)耦合的光力系統(tǒng)中的光力學(xué)誘導(dǎo)透明,該系統(tǒng)中兩個耦合的納米力學(xué)振子分別被與時間相關(guān)的外力驅(qū)動。研究發(fā)現(xiàn):振子之間力學(xué)相互作用可以將通常的單模光力學(xué)系統(tǒng)的透明窗口分成兩部分,然后導(dǎo)致雙重光力學(xué)誘導(dǎo)透明的出現(xiàn)。兩個透明點(diǎn)位置之間的距離(最大透明度的頻率)由力學(xué)相互作用幅度確定。這可以通過光力學(xué)綴飾模式的圖像來解釋,其類似于相干原子中相互作用的暗態(tài)共振。另外,雙透明光譜中的兩個最大透明幅度將隨力學(xué)振子上的驅(qū)動外力增加而改變:通過改變耦合力學(xué)振子上的驅(qū)動外力,會使右邊的最大透明增強(qiáng),并產(chǎn)生光放大;但是,該驅(qū)動外力抑制雙透明窗口中的左邊最大透明。最后,研究發(fā)現(xiàn)雙重光力學(xué)誘導(dǎo)透明或放大將會隨著驅(qū)動力的初始相位的改變呈周期為2?的振蕩。這些研究將有助于更靈活地控制基于光力學(xué)系統(tǒng)的多通道光通信。2、我們采用左右代數(shù)動力學(xué)方法計(jì)算光力學(xué)系統(tǒng)約化密度算符方程,從而求得了系統(tǒng)含時的解析解,并得到了系統(tǒng)光子數(shù)的解析式。該方法不僅能夠比較全面考察環(huán)境對系統(tǒng)的影響,同時可以很方便求解含時或者不含時系統(tǒng)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.
【學(xué)位授予單位】：四川師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O43

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本文編號：1927540