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研究生: 黃柏彰
Huang, Bo-Zhang
論文名稱: 雙光過程下的解析非馬爾可夫動力學
Exact Non-Markovian Dynamics for Two-Photon Processes
指導教授: 張為民
Zhang, Wei-Min
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2016
畢業學年度: 104
語文別: 英文
論文頁數: 51
中文關鍵詞: 光子系統雙光子過程非馬爾可夫動力學路徑積分master方程式
外文關鍵詞: Photonic Systems, Two-Photon Processes, Non-Markovian Dynamics, Path Integral, Master Equation
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  • 在本論文中,我們研究一個同時具有單光子與雙光子過程的光子系統耦合到一個非馬爾可夫熱庫。我們利用相干態路徑積分推導出解析master方程式。接著我們探討在弱耦合與強耦合情況下的雙光子過程。最後,我們也研究了擠壓態的非馬爾可夫動力學。

    In this thesis, the exact non-Markovian dynamics of a photonic system coupled to a general non-Markovian reservoir involves single-photon and two-photon processes is investigated. We use the coherent state path integral to derive the exact master equation involving two-photon process. We study the two-photon effect in both the weak coupling regime and the strong coupling regime. We also discuss the non-Markovian dynamics with squeezing.

    1 Introduction 1 1.1 History Overview 1 1.2 Two-Photon Effect and Squeezed State 2 1.3 Thesis Overview 3 2 Exact Non-Markovian Dynamics of Two-Photon Processes 4 2.1 Coherent State Representation 5 2.2 Coherent State Path Integral Approach 5 2.2.1 Density matrix of Open Quantum Systems 5 2.2.2 Propagating Function and Feynman-Vernon Influence Function 7 2.3 Exact Master Equation for Two-Photon Processes 10 2.3.1 Exact Master Equation Approach 10 2.3.2 Master Equation Without Two-Photon Effect 15 3 Non-Markovian Effects of Two-Photon Processes 16 3.1 Green Function for Two-Photon Process 16 3.2 Reservoir-Induced Two-Photon Processes 22 3.3 The Dissipation Dynamics of Two-Photon Process 28 3.4 Non-Markovian Squeezing Dynamics 31 4 Conclusion 44 A Transform of System Equation 45 A.1 Green Function 45 A.2 Some Useful Identity 47 Bibliography 49

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