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We explore the mechanism for the long-lived quantum coherence by consideringthe discrete phonon modes: these vibrational modes effectively weaken theexciton-environment interaction, due to the new composite (polaron) formed byexcitons and vibrons. This subsequently demonstrates the role of vibrationalcoherence which greatly contributes to long-lived feature of the excitoniccoherence that has been observed in femtosecond experiments. The estimation ofthe timescale of coherence elongated by vibrational modes is given in ananalytical manner. To test the validity of our theory, we study thepigment-protein complex in detail by exploring the energy transfer andcoherence dynamics. The ground-state vibrational coherence generated byincoherent radiations is shown to be long-survived and is demonstrated to besignificant in promoting the excitation energy transfer. This is attributed tothe nonequilibriumness of the system caused by the detailed-balance-breaking,which funnels the downhill migration of excitons.

Origin of long-lived coherence and excitation dynamics in pigment-protein complexes