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研究生：	連囿荃 Lian, Yu-Chuan
論文名稱：	基於電磁波引發透明的低光強拉曼輔助四波混頻 Low-light-level Raman-assisted four-wave mixing based on EIT
指導教授：	陳泳帆 Chen, Yong-Fan
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：	2020
畢業學年度：	108
語文別：	英文
論文頁數：	73
中文關鍵詞：	量子資訊、電磁波引發透明、四波混頻
外文關鍵詞：	Quantum information, Electromagnetically induced transparency, Four-wave mixing
相關次數：	點閱：154 下載：19
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在這篇論文中，我們展示了一個基於電磁波引發透明現象且反向配置的低光強特殊四波混頻系統其理論及實驗上的對比。在一道強力的驅動光下對於微弱的反史托克光子來說會有一個透明窗口產生。而四波混頻系統是由一道微弱且大調變的幫浦光經由拉曼過程把反史托克光子轉換成史托克光而形成的。四波混頻實驗上是由幫浦光反向於反史托克光以及驅動光射入原子後，使得史托克光會沿著幫浦光的方向產生，故形成了一個由四道光組成的四波混頻機制。實驗上在我們達成了用約10個飛焦耳等級能量的幫浦光脈衝的情況下，觀測到了這個四波混頻約0.005% 的轉換效率。

In this thesis, we demonstrate a specific four-wave mixing arranged in backward configuration based on electromagnetically induced transparency with extremely low-light level both experimentally and theoretically. A strong driving laser creates a transparency window for a weak anti-Stoke laser. The four-wave mixing process is then produced by a weak and far-detuned pumping beam which convert the anti-Stoke laser to Stoke laser through Raman transition. The pumping laser is being arranged counter-propagating to the anti-Stoke and driving lasers, thus the weak Stoke beam is generated along the direction of the pumping field, hence the backward four-wave mixing scheme is established. In the experiment, we have observed a FWM process with around 0.005% conversion efficiency by using the pumping laser pulse containing energy about the order of 10 femtojoule.

摘要 i
Abstract ii
誌謝 iii
Table of Contents iv
List of Tables vi
List of Figures vii
Chapter 1. Introduction 1
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Chapter 2. Semi­Classical Theory 4
2.1 Two­Level system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
. 2.1.1 Two­Level system­introduction . . . . . . . . . . . . . . . . . . . 4
. 2.1.2 Two­Level system­calculation . . . . . . . . . . . . . . . . . . . . 6
2.2: Electromagnetically induced transparency (EIT) . . . . . . . . . . . . . . 10
. 2.2.1 EIT introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
. 2.2.2 EIT calculation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
. 2.2.3 Phase shift of Probe beam . . . . . . . . . . . . . . . . . . . . . . 15
. 2.2.4 Slow­Light Effect . . . . . . . . . . . . . . . . . . . . . . . . . . 16
. 2.2.5 The dark state of electromagnetically induced transparency . . . . . 17
2.3 Four­wave mixing process . . . . . . . . . . . . . . . . . . . . . . . . . . 18
. 2.3.1 Four­Wave mixing process introduction . . . . . . . . . . . . . . . 19
. 2.3.2 Four­Wave mixing process Calculation . . . . . . . . . . . . . . . 20
. 2.3.3 Phase Mismatch Effect . . . . . . . . . . . . . . . . . . . . . . . . 30
Chapter 3. Experiment Setup 33
3.1 Magneto­optical Trap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
3.2 Electromagnetically induced transparency . . . . . . . . . . . . . . . . . . 38
3.3 Raman Four­Wave Mixing experiment setup . . . . . . . . . . . . . . . . . 40
Chapter 4. Experiment result and discussion 43
4.1 Electromagnetically induced transparency . . . . . . . . . . . . . . . . . . 44
4.2 Raman Four­Wave Mixing process . . . . . . . . . . . . . . . . . . . . . . 46
Chapter 5. Conclusion and outlook 56
References  57
Appendix A. Characteristic of Gaussian Beam 60
A.1 Plan wave . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
A.2 Gaussian beam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Appendix B. Etalon Filter 66
                                    

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