Unidirectional Energy Transfer in Modulated Systems Via Adiabatic Passage

The classical-quantum analogue offers a new platform for exploring extreme dynamic control of mechanical systems. In this work, the concept of the stimulated adiabatic passage of quantum states is extended to mechanical systems for achieving unidirectional energy transportation. The mechanical analog of stimulated adiabatic passage is realized in three mechanical resonators coupled with the time-varying stiffness, which are delicately modulated to mimic the selective population of quantum states. Based on the tight-binding approximation, an analytical model for the classical-quantum analogue of the adiabatic passage effect is established to realize the one-way energy transfer control. Numerical results demonstrate that the vibration energy acquired from an initially excited resonator can be transferred to the target one via an intermediate resonator, while flow in the reverse direction is prohibited due to energy localization in the intermediate resonator. The model holds application potentials in energy suppression and harvesting, and offers promising prospects for unidirectional wave and vibration control.