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Periodic driving and Floquet engineering have emerged as invaluable tools forcontrolling and uncovering novel phenomena in quantum systems. In this study,we adopt these methods to manipulate nonequilibrium processes withinelectronic-vibronic open quantum systems. Through resonance mechanisms and byfocusing on the limit-cycle dynamics and quantum thermodynamic properties, weillustrate the intricate interplay between the driving field and vibronicstates and its overall influence on the electronic system. Specifically, weobserve an effective decoupling of the electronic system from the periodicdriving at specific frequencies, a phenomenon that is mediated by thevibrational mode interaction. Additionally, we engineer the driving field toobtain a partial removal of the Franck-Condon blockade. These insights holdpromise for efficient charge current control. Our results are obtained fromnumerically exact calculations of the hierarchical equations of motion andfurther analyzed by a time-periodic master equation approach.

Periodically driven open quantum systems with vibronic interaction: Resonance effects and vibrationally mediated decoupling