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We show that the efficient excitation energy transfer in theFenna-Matthews-Olson molecular aggregate under realistic physiologicalconditions is fueled by underdamped vibrations of the embedding proteins. Forthis, we present numerically exact results for the quantum dynamics of theexcitons in the presence of nonadiabatic vibrational states in theFenna-Matthews-Olson aggregate employing a environmental fluctuation spectralfunction derived from experiments. Assuming the prominent 180 cm$^{-1}$vibrational mode to be underdamped, we observe, on the one hand, besidesvibrational coherent oscillations between different excitation levels of thevibration also prolonged electronic coherent oscillations between the initiallyexcited site and its neighbours. On the other hand, however, the underdampedvibrations provide additional channels for the excitation energy transfer andby this increase the transfer speed by up to $30\%$ .

Vibronic speed-up of the excitation energy transfer in the Fenna-Matthews-Olson complex