Controlling the dynamics of dissipationless localized bound states in open quantum systems with periodic driving fields

In this paper, we study the exact dynamics of open quantum systems in the presence of dissipationless localized bound states and periodic driving fields. We show that different from the static adjustment of the system parameters to control the existence of localized bound states in open quantum systems, the periodic driving can either modulate the dynamics of the existing localized bound states or make some of them disappear due to the sideband generation from the driving that makes electrons transit between the localized bound states and continuous states. This analysis is also different from the widely used Floquet theory in the study of the driving effect on open system dynamics. We also find the conditions for the protection of the dissipationless localized bound states from the driving and for the manipulation of quantum coherence between localized bound states using the driving. The results for the dynamics of localized bound states have a potential application in controlling the quantum state against decoherence for the sake of its sensitivity to the fundamental frequency of the driving field and its strength.