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We analyze resonant tunneling subject to a non-adiabatic time-dependentbias-voltage through an asymmetric single molecular quantum dot with couplingbetween the electronic and vibrational degrees of freedom using a {\emTien-Gordon-type} rate equation. Our results clearly exhibit the appearance ofphoton-assisted satellites in the current-voltage characteristics and theelimination of hot-phonon-induced negative differential conductance withincreasing ac driving amplitude for an asymmetric system. This can be ascribedto an {\em ac-induced suppression} of unequilibrated (hot) phonons in anasymmetric system.

Elimination of negative differential conductance in an asymmetric molecular transistor by an ac-voltage