此論文對於銫原子在室溫下的階梯式電磁誘發透明現象做探討，其中包含
量測雷德堡原子的磁耦常數、波茲曼-馬克斯威爾速度群造成的效應和綴飾態
能階分裂的修正；此外，來自於不同躍遷能階的電磁誘發透明彼此之間的相對
強度關係也將會在此探討，論文最後將討論電磁誘發透明和其反應在雙光子躍
遷訊號下的線寬大小。本論文中的數值模擬分析採用解出光學布拉格和光泵激
發方程式來模擬原子在光和原子的交互作用後造成的現象來做討論。本論文主
要分為三大主題，第一個主題為利用室溫下電磁誘發透明窄線寬的特性量得銫
原子11s 2S1/2 的磁耦常數A=38.81±0.23 MHz，此實驗中的光譜除了由探測光和耦合光間的波長不匹配因子修正綴飾態的能階分裂間距外，也使用另一道校正
光束來校正雷射掃頻下的頻率軸，利用電磁誘發透明的同調性特質使較弱躍遷
強度的雷德堡態能階的精細結構亦可以量得。承接第一個主題，第二個主題探
討光泵激發效應造成不同躍遷能階的電磁誘發透明彼此之間的相對強度的差
異，探測光束和耦合光束不單只是產生量子干涉效應，其也會造成原子在黎曼
能階上居量分佈的重新排列，分析的結果顯示參與作用的原子數多寡將造成電
磁誘發透明的強度有所不同。第三個主題是研究室溫下階梯式電磁誘發透明的
線寬和其穿透度的探討，當探測光束很弱 (1.3 μW/cm2 (0.003Γ2)) 且耦合光束的Rabi frequency 大小在13.32 MHz =1.8Γ(Γ=Γ2+Γ3)的情況下，線寬低於Γ的電磁誘發透明依然可以觀測的到，此外，當耦合光束光強減弱時，量子破壞性干涉所造成的線寬可低至2.9 MHz (=0.39Γ)；另一方面，藉由雙光子躍遷螢光
減少程度可以推得知電磁誘發透明的穿透效率約為25%，此項結果間接證明在
室溫系統下低的穿透率是不可避免的。

This dissertation reports the studies on the phenomenon of the ladder-type electromagnetically
induced transparency (EIT) in a room-temperature cesium cell, including the measurement
of magnetic dipole constant of Cs 11s 2S1/2, the effects of Boltzmann-Maxwell velocity
groups, and the modification of dressed state interval. Besides, the relative EIT intensities
owing to different transitions is investigated. Furthermore, EIT behaviors reflecting on
the two-photon excitations are explored as well. To simulate the experimental spectrum, a
numerical results by solving optical Bloch equations regarding coherence and decoherence,
and rate equations about optical pumping are introduced.
In simplicity, there are three topics in this dissertation. First, the hyperfine interval of
Cs 11s 2S1/2 is determined by using the ladder-type EIT. In this experiment, the magnetic
dipole constant of Cs 11s 2S1/2 is measured through two narrow-linewidth laser fields.
The EIT doublets are observed, and the EIT spectrum is identified by introducing the
wavelength mismatching factor under the dressed state scheme. Theoretical simulation
is performed by obtaining the solutions of optical Bloch equations and integrating them
over Doppler velocities, optical-pumping and two-photon coherence effects. Simulation
results correlate well with experimental data. Finally, the magnetic dipole constant of Cs
11s 2S1/2 A=38.81±0.23 MHz is elucidated by adding a calibration field to increase the
accuracy of the frequency scale.
Second, the relative intensities of the probe transmission in a ladder-type EIT are studied by considering the optical pumping effect between each Zeeman sublevels of the involved
transitions. The relative EIT intensities from different transitions remain a task so far. The
observed EIT spectra reveal a different probe or coupling power dependence for various
transmission peaks. In addition to causing quantum interference, the probe and coupling
laser fields realign the population of Zeeman sublevels in the ground state through optical
pumping. Analytic results indicate that the re-distribution levels failing to contribute
to the EIT peaks, either out of the transition path or zero transition probability, will
significantly affect the transmission intensity.
In the last topic, the subnatural linewidth, i.e., below Γ(= Γ2 + Γ3), in a ladder-type
EIT can be achieved in a room-temperature cesium cell, even though the coupling Rabi
frequency is as large as 1.8Γ. Under a low-light-level probe regime (1.3 μW/cm2 (0.003Γ2))
and weak coupling power, the narrowest EIT linewidth is 2.9 MHz (= 0.39Γ). Both the
transmission of the probe field and the dip on the two-photon excitation fluorescence
exhibit the subnatural linewidth behavior. At the room temperature, the transmittance
of the probe field has to integrate over the Doppler velocity distribution, which will shrink
the transmission linewidth due to the probe and coupling wavelength mismatch. The
EIT transparency rate derived from the loss of fluorescence is about 25%. This result
proves that the low transparency rate is inevitable when EIT is applied in the thermal
vapor. Finally, the simulation results by solving the optical Bloch equations are in good
agreement with both EIT and two-photon excitation fluorescence.

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