在本論文中，我們建立了一個包含初始關聯、隨時變的量子理論，可以用來研究奈米元件中的輸運動力學。這套理論延伸了建立在費曼維儂影響泛函理論和凱爾迪西非平衡態格林函數方法的量子輸運理論到任意的初始態。在本論文所關心的奈米電子元件是由中央島和源極、汲極耦合所組成。我們也得到了包含初始相關聯的時間無迴旋精確主方程，而在這主方程中包含了中央島和庫相互間的反饋效應。我們以量子點耦合到兩個電極作為一個具體的例子，來研究包含了初始關聯的輸運動力學。我們更進一步我們得到電流和電流擾動關聯函數和雜訊譜，使我們可以用來了解奈米電子元件中的特徵和結構組成。最後我們使用這套量子輸運理論來研究在奈米電子元件中隨時間變化的傳輸現象，例如:光子助輸運現象、單電子發射器(電子旋轉式發射器)。

In this thesis, a transient quantum transport theory incorporated with initial correlations is developed to study the transport dynamic in nanoelectronic system. It extends the quantum transport theory based on the Feynman-Vernon influence functional approach and the Keldysh nonequilibirum Green function technique to an arbitrary initial state. The nanoelectronic devices concerned in this thesis consist of the central island coupled to the source and the drain. The
time-convolutionless exact master equation which incorporates with the correlations is also derived, where the back-reactions between the island and the reservoirs are fully taken into account. By using the quantum dot system coupled to two leads as an example, the transport dynamics
incorporated with initial correlations is discussed. Moreover, The fluctuating current-current correlations and the noise spectrum are obtained to understand the intrinsic characteristic and structure of the nanoelectronic devices. At last, the transient quantum transport is applied to study the time-dependent transport phenomena such as the photon-assisted transport and single-electron pumpings and turnstile operations in nanoelectronic devices.

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