Quantum Dots Localization System Dynamics Research

In this paper, the content we study is the dynamical localization of two electrons in triple quantum dots system and triple quantum dots shuttles. We analyze the dynamical localization of two electrons in triple quantum dots system by using Floquet theory. We show that electrons’Coulomb interaction have effect on the dynamical localization. And we study that mechanical motion will impact on the dynamical localization.In chapter1, we recommend the meaning of the dynamical localization and electron shuttle, and describe the outcome of this field. And we generalize the chief content of this paper.In chapter2, we will introduce two electrons’ dynamical localization of triple quantum dots system. We analyze the relationship between the dynamical evolution of this system and the quasi-energies spectrum by means of the Floquet theory. Moreover, According to the occupation probability gain from Schrodinger equation, we get the conclusion that the electrons travel between the states which have the same type with the initial state. From this discuss, we find that no matter the system have the inter-dot Coulomb interaction or not, the localization phenomenon occur only if the two electrons’initial states occupy in the same quantum dot. We study the effect of the Coulomb interaction on dynamical localization. And we find that the bigger inner-dot Coulomb interaction and the smaller inter-dot Coulomb interaction are propitious to the occurrence of the dynamical localization.In chapter3, we will analyze dynamical localization of two electrons in triple quantum dots shuttles, and find that the dynamical localization occur near the anti-crossings in Floquet quasi-energy spectrum. The oscillation of the quantum dot shuttles may increase the possibility of the dynamical localization. Especially, even if the two electrons are initialized in two neighbor dots, they can be localized at the initial states for appropriate intensity of the driven field. The studies may help the understanding of dynamical localization in electron shuttles and expand the application potential of nanoelectromechanical devices.