  Excitation energy transfer (EET) and electron transfer (ET) are crucially
involved in photosynthetic processes. In reality, the photosynthetic reaction
center constitutes an open quantum system of EET and ET, which manifests an
interplay of pigments, solar light and phonon baths. So far theoretical studies
have been mainly based on master equation approaches in the Markovian
condition. The non-Markovian environmental effect, which may play a crucial
role, has not been sufficiently considered. In this work, we propose a mixed
dynamic approach to investigate this open system. The influence of phonon bath
is treated via the exact dissipaton equation of motion (DEOM) while that of
photon bath is via the Lindblad master equation. Specifically, we explore the
effect of non-Markovian quantum phonon bath on the coherent transfer dynamics
and its manipulation on the current-voltage behavior. Distinguished from the
results of completely Markovian Lindblad equation and those adopting classical
environment description, the mixed DEOM-Lindblad simulations exhibit transfer
coherence up to a few hundreds femtoseconds and the related environmental
manipulation effect on current. These non-Markovian quantum coherent effects be
extended tomore complex and realistic systems and be helpful to the design of
organic photovoltaic devices.
