混合光力系统中透明现象的研究
发布时间：2023-04-16 21:39
腔光力系统是当前实验和理论的研究重点,近年来取得了令人瞩目的巨大进步。典型的腔光力系统包括一个光学谐振腔和一个微机械腔或纳米机械腔,它可以使光学的自由度与机械的自由度耦合,也可以使腔场与机械振子相互调制。通常将二能级原子加入到光力系统中可以提高腔场与振子之间的耦合强度,这直接会丰富光力系统中的各种非线性效应,有助于研究光力系统中的诸如光力诱导透明(OMIT)等量子效应。在本文中,我们以光力诱导透明为主,研究腔光力混合系统中的量子非线性效应。本文的主要包括六章,其中第3章到第5章是我们的主要工作,第6章是本文的总结和讨论。我们在第一章介绍了腔光力系统的背景及其研究进展。尤其简单回顾了光力诱导透明以及Fano共振现象的基本研究情况。第二章,我们介绍了腔光力系统的基本概念和相关知识。首先介绍了机械振子以及辐射压,进而引入光力系统以及相关的实验进度。然后我们详细介绍了光力系统的动力学描述,主要包括基本哈密顿量、光力耦合、量子朗之万方程、输入输出关系等。最后,我们着重介绍了与我们主要工作密切相关光力诱导透明以及Fano共振现象。第三章,我们研究了由N个腔和原子组成的光力系统中的透明现象。我们发现...
【文章页数】：143 页
【学位级别】：博士
【文章目录】：
摘要
Abstract
主要符号表
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
参考文献
攻读博士学位期间发表学术论文情况
创新点摘要
致谢
作者简介
本文编号：3791928
【文章页数】：143 页
【学位级别】：博士
【文章目录】：
摘要
Abstract
主要符号表
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
参考文献
攻读博士学位期间发表学术论文情况
创新点摘要
致谢
作者简介
本文编号：3791928
本文链接：https://www.wllwen.com/kejilunwen/wulilw/3791928.html
