臺灣博碩士論文加值系統

量子光學系統的電磁誘導透明現象可類比於彈簧系統，而彈簧系統又可轉類比於RLC線路，勿需高價位的光電設備即可實驗觀察，更可以隨意調整參數來觀察並預期原子系統的各種可能現象。
二能級共振系統可經由簡單的LC電路實現,三能級的EIT(電磁誘導透明)系統則可由一個電容與兩個LC電路相互耦合所形成的雙迴圈電路模擬出，以同樣的方式，四能級的EIT系統也可由兩個電容與三迴圈LC電路互相耦合去觀察。
本論文提議將電壓源和電容(與兩旁迴圈耦合之電容)的電路行為(電流響應)分別當成原子中EIT的探針(probe)與控制(control)光場，當兩束光同時照射裝箱的三能級原子氣體會形成破壞型干涉，發生雙光子共振，破壞也消除了有效功率與原有的吸收機制與衰變率；而使材料的相對介電係數僅剩真空的實數1(虛部為0)，這就是EIT現象。我們將用Multisim 12.0 (NI ,電路模擬軟體)模擬EIT原子群的量子相干效應的RLC雙諧振電路並分析其功率頻譜，並用Elvis II+配合Labview(NI ,儀控軟體)自行設計超低頻頻譜分析儀實際測量電路的頻譜響應，最後我們比對了RLC電流模擬的效果非常良好。

A two-level resonant atomic system can be modeled by a simple LC circuit，and
therefore a three-level EIT (electromagnetically induced transparency) system can be simulated by a two-loop circuit，in which two simple LC circuits are coupled to each other via a capacitor coupling，in the same fashion，a four-level EIT system can also have a three-loop LC circuit analog via two capacitor couplings to observed .
We suggest to use the voltage source and the capacitors(the capacitors coupling on both sides loops) in the circuit act (current response) as the probe field and the control fields in atomic EIT，when two beams of laser irradiated boxed three-level atomic system in the same time will form the destructive interference，two-photon resonance occurs，destruction also eliminates the effective power and the absorption mechanism and the decay rate；cause the dielectric constant of the material the remaining vacuum real number (imaginary part is 0)，which is the EIT phenomenon .We used Multisim 12.0 (NI，circuit simulation software) simulate the quantum coherent effect of the RLC double-resonant circuit of EIT atomic group and analyzed the power spectrum in the circuit，and use Elvis II+ with Labview (NI，instrument control software) self - designed the spectral response of the actual measurement circuit of ultra-low-frequency spectrum analyzer，and finally we have very good effect on the RLC current analog .

第一章、引言
1-1 電磁誘導透明(EIT)現象簡介..............1
1-2 電磁誘導透明研究回顧...................2
1-3 實驗動機與介紹.........................5
1-4 實驗結論...............................6

第二章、原子系統轉換到RLC線路
2-1 電磁誘導透明理論模型...................7
2-2 色散行為...............................8
2-3 三能級原子系統類比RLC線路
2-3-1原子系統密度矩陣....................13
2-3-2 波與系統相互作用...................15
2-3-3 三能級原子系統類比彈簧系統 ........16
2-3-4 三能級彈簧系統類比RLC 線路........19
2-4 四能級原子系統類比RLC線路
2-4-1 四能級原子系統類比彈簧系統........21
2-4-2 四能級彈簧系統類比RLC線路........24

第三章、模擬與實驗
3-1 模擬軟體及實驗儀器介紹................26
3-2 電路模型..............................27
3-3 電路之透射率.........................28

第四章、結果與討論
4-1 模擬結果..............................34
4-2 實測結果..............................37
4-3 討論..................................39

第五章、結論............................. 41

參考文獻.................................42
碩士期間完成之學術論文...................43
附錄一........................................44
附錄二........................................47
附錄三........................................49
附錄四........................................51
附錄五........................................54

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碩士期間完成之學術論文
1. Xi Chen, Xia Min Leng, Jing Xin Li, Yi-Tsen Yeh, Teh-Chau Liau,
Jian Qi Shen, Yao-Huang Kao, Tzong-Jer Yang,” Experimental Verification of Circuit Analog of Three- and Four-Level Electromagnetically Induced
Transparency ” ,”Advanced Materials Research Vols. 415-417 (2012) pp 1340-1349”

2. Xiamin Leng, Yi-Tsen Yeh, Jingxin Li, Xi Chen,Teh-Chau Liau, Jian Qi Shen , ” Power Spectrum Analysis in Classical Circuit Analog of Electromagnetically Induced Transparency” ,“International Review of Physics ”