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混合光力系統(tǒng)中透明現(xiàn)象的研究

發(fā)布時(shí)間:2023-04-16 21:39
  腔光力系統(tǒng)是當(dāng)前實(shí)驗(yàn)和理論的研究重點(diǎn),近年來取得了令人矚目的巨大進(jìn)步。典型的腔光力系統(tǒng)包括一個(gè)光學(xué)諧振腔和一個(gè)微機(jī)械腔或納米機(jī)械腔,它可以使光學(xué)的自由度與機(jī)械的自由度耦合,也可以使腔場與機(jī)械振子相互調(diào)制。通常將二能級(jí)原子加入到光力系統(tǒng)中可以提高腔場與振子之間的耦合強(qiáng)度,這直接會(huì)豐富光力系統(tǒng)中的各種非線性效應(yīng),有助于研究光力系統(tǒng)中的諸如光力誘導(dǎo)透明(OMIT)等量子效應(yīng)。在本文中,我們以光力誘導(dǎo)透明為主,研究腔光力混合系統(tǒng)中的量子非線性效應(yīng)。本文的主要包括六章,其中第3章到第5章是我們的主要工作,第6章是本文的總結(jié)和討論。我們?cè)诘谝徽陆榻B了腔光力系統(tǒng)的背景及其研究進(jìn)展。尤其簡單回顧了光力誘導(dǎo)透明以及Fano共振現(xiàn)象的基本研究情況。第二章,我們介紹了腔光力系統(tǒng)的基本概念和相關(guān)知識(shí)。首先介紹了機(jī)械振子以及輻射壓,進(jìn)而引入光力系統(tǒng)以及相關(guān)的實(shí)驗(yàn)進(jìn)度。然后我們?cè)敿?xì)介紹了光力系統(tǒng)的動(dòng)力學(xué)描述,主要包括基本哈密頓量、光力耦合、量子朗之萬方程、輸入輸出關(guān)系等。最后,我們著重介紹了與我們主要工作密切相關(guān)光力誘導(dǎo)透明以及Fano共振現(xiàn)象。第三章,我們研究了由N個(gè)腔和原子組成的光力系統(tǒng)中的透明現(xiàn)象。我們發(fā)現(xiàn)...

【文章頁數(shù)】:143 頁

【學(xué)位級(jí)別】:博士

【文章目錄】:
摘要
Abstract
主要符號(hào)表
1 Introduction
    1.1 The background of cavity optomechanics
    1.2 The development of optomechanical systems
    1.3 The importance of cavity optomechanics
    1.4 Optomechanically induced transparency and Fano resonances in cavityoptomechanics
    1.5 The contents and outline of the thesis
2 Fundamental knowledge about optomechanical systems
    2.1 Overview
    2.2 Quantization of electromagnetic field
    2.3 The mechanical harmonic oscillator
        2.3.1 Classical harmonic oscillator
        2.3.2 Quantum harmonic oscillator
    2.4 Cavity quantum electrodynamic system
        2.4.1 Quantum theory of the interaction of light and matter
        2.4.2 Interaction of a single two-level atom with a quantized field
    2.5 Radiation pressure force
        2.5.1 Classical analysis of the radiation pressure
        2.5.2 Quantum analysis of the radiation pressure
    2.6 The optomechanical systems
        2.6.1 Febry-Perot cavity
        2.6.2 Optomechanical system with membrane
        2.6.3 Microtoroidal optomechanical system
    2.7 Optomechanical experimental parameters
    2.8 The Hamiltonian
    2.9 Linearization of Hamiltonian
    2.10 Light induced modification of mechanical response
        2.10.1 Effective optomechanical damping rate
        2.10.2 Light induced shift in frequency
    2.11 Quantum Langevin equations
    2.12 Input-output formulation
    2.13 Homodyne detection
    2.14 Optomechanically induced transparency in an optomechanical system
        2.14.1 Electromagnetically induced transparency
        2.14.2 Optomechanically induced transparency
    2.15 Fano resonances
        2.15.1 Basic theory of Fano resonances
        2.15.2 Fano resonances in an optomechanical system
3 Optomechanically induced transparency in multi-cavity optome-chanical system with and without one two-level atom
    3.1 Overview and introduction
    3.2 Theoretical model
    3.3 The dynamics
    3.4 Output field and OMIT windows
        3.4.1 The atom is trapped in the odd-labeled cavity
        3.4.2 The atom is trapped in the even-labeled cavity
        3.4.3 The role of the mechanical oscillator
    3.5 Discussions and conclusion
4 Controllable optomechanically induced transparency in coupledoptomechanical systems
    4.1 Overview and introduction
    4.2 Theoretical framework of optomechanical system and its Hamiltonian
    4.3 Output field and OMIT in the system
        4.3.1 Output field
        4.3.2 OMIT windows
    4.4 Discussions and conclusion
5 Tunable optomechanically induced transparency and Fano reso-nance in optomechanical system with levitated nanosphere
    5.1 Overview and introduction
    5.2 The model and the dynamics
    5.3 Optical response in the output fields
        5.3.1 Single Fano resonance in output field
        5.3.2 Double Fano resonance in output field
6 Summary and prospect
    6.1 Summary
    6.2 Prospect
參考文獻(xiàn)
攻讀博士學(xué)位期間發(fā)表學(xué)術(shù)論文情況
創(chuàng)新點(diǎn)摘要
致謝
作者簡介



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