The Theory Of Dynamic Properties Of Coupled Quantum Dot System

In this thesis, we investigate the transport properties of an ac driving double-bridged quantum dot arrays coupled to electronic leads with an uniform magnetic field applied perpendicularly on it and the effect of external noise on the dynamical localization of two coupling electrons in an isolated quantum dot array.In chapter one, we introduce the main characteristics of quantum dot system and the current development in the field of quantum dynamics of ac driving coupled quantum dots system.In chapter two, we present a model of double-bridged quantum dot arrays coupled to electronic leads. Using the method based on Floquet approach, we study the transport properties of the model in an ac electric and a magnetic fields. The average current as a function of the driving frequency with different parameters of the system can be obtained by numerically solving the corresponding Floquet equation of the system. We have found that in the absence of the magnetic field the basic transport properties of our model is accordance with the single-bridged model, moreover, in the double-bridged model the coupling between the two quantum dots on the same bridge site can cause casual degeneracy of the current peaks and the magnetic field can eliminate this degeneracy.In chapter three, we study the effect of external noise on the dynamical localization of two interacting electrons moving in an isolated one-dimensional quantum dot array. We assume that the noise is characterized by an Ornstein-Uhlenbeck process. By solving the time evolution equation for the probability amplitudes numerically, we have found that the dynamical localization of the system may be destroyed by the external noise, but it can stand...