Dynamical localization of two electrons in triple-quantum-dot shuttles

The dynamical localization phenomena in two-electron quantum-dot shuttles driven by an ac field have been investigated and analyzed by the Floquet theory. The dynamical localization occurs near the anti-crossings in Floquet eigenenergy 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 there 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.

► The dynamical localization in electron shuttle is studied by Floquet theory.
► There is a relation between quasi-energy anti-crossings and dynamical localization.
► The oscillation of quantum dot increases the dynamical localization.
► Even the electrons are initialized in different dots, the localization can occur.