本論文研究利用冷原子研究不同四波混頻機制，實驗中利用雙Λ態四波混頻達到頻率轉換和實現頻率軸上的分光器；在DLCZ方式下，利用雙光子自發輻射四波混頻加入誘導光產生訊號光(signal)，以了解探測光(probe)和訊號光(signal)在相位匹配情況下空間的方向。

We study the different four wave mixing with cold atoms system in this thesis .In the experiment ,we use the double lambda four wave mixing to achieve frequency conversion and realize the beam splitter on the frequency domain. With the help of DLCZ, we add induced light to the biphoton spontaneous four wave mixing to generate the signal . In order to understand the direction of light when probe and signal are in phase matching condition.

摘要-----------------------------------------------i
Abstract-------------------------------------------ii
致謝-----------------------------------------------iii
一、簡介與動機--------------------------------------1
二、基本原理
2.1.Doppler冷卻及磁光陷阱-----------------------2
2.2黑暗型磁光陷阱-------------------------------5
2.3.電磁波引發透明光譜原理-----------------------6
2.4.雙Λ態四波混頻理論---------------------------11
2.5.雙光子自發輻射四波混頻原理-------------------14
三、頻率轉換和頻率分光器 --- 雙Λ態四波混頻
3.1.能階躍遷圖和實驗架設-------------------------15
3.2.頻率轉換和頻率分光器- 輸入780 nm古典光--------16
四、以DLCZ方式產生單光子實驗設計
4.1.研究不同相位不匹配條件------------------------18
4.2.實驗架設和能階躍遷圖--------------------------22
4.3.雙光子SFWM - 輸入780 nm探測光-----------------23
五、總結與未來展望-----------------------------------24
六、參考文獻-----------------------------------------26
附錄
A. 磁光陷阱系統優化
A.1.Trapping光斑優化-------------------------------27
A.2.黑暗型磁光陷阱的Repumping 光強優化--------------29
A.3. Trapping光和795 nm Zeeman pumping時序優化-----31
B.電流源製作
B.1.充電迴路改良-----------------------------------32

[1] L.-M. Duan, M. D. Lukin, J. I. Cirac & P. Zoller. “Long-distance quantum communication with atomic ensembles and linear optics”.Nature (2001).
[2] W.Ketterle.K.B.Davis,M.A.Joffe,A.Martin,and D.E. Pritchard, “High Densities of Cold Atoms in a Dark Spontaneous-Force Optical Trap”,Phy.Rev.Lett.A 50,R3597(1994).
[3] 廖文德，“電磁誘發透明介質中靜止脈衝的理論研究”，國立清華大學，博士論文，民國102年。
[4] 張藁方，“單光子的高效率同調波長轉換之實現及頻域的Hong-Ou-Mandel”，國立清華大學，博士論文，民國107年。
[5] Pau Farrera, Georg Heinze, Boris Albrecht, Melvyn Ho, Matı´as Cha´vez,Colin Teo, Nicolas Sangouard& Hugues de Riedmatten.Generation of single photons with highly tunable wave shape from a cold atomic ensemble.Nature Communications – Published 25 Nov 2016
[6] Xiao-Hui Bao , Andreas Reingruber , Peter Dietrich , Jun Rui , Alexander Dück , Thorsten Strassel,Li Li , Nai-Le Liu , Bo Zhao and Jian-Wei Pan.“Efficient and long-lived quantum memory with cold atoms inside a ring cavity”. Nature Physics volume 8, pages 517–521 (2012).