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From studying the time evolution of the single electron density matrix withina density functional tight-binding formalism we study in a fully atomisticpicture the electronic excitation transfer between two photosynthetic pigmentsin real time. This time-dependent quantum dynamics is based on fully atomisticstructural models of the photosynthetic pigment. We analyze the dependence ofthe electronic excitation transfer with distance and orientation betweenphotosynthetic pigments. We compare the results obtained from full quantumdynamics with analytical ones, based on a two level system model were theinteraction between the pigments is dipolar. We observed that even when thedistance of the photosynthetic pigment is about $30$ \AA\ the deviation of thedipolarity is of about $15$ percent.

Full quantum dynamics of the electronic coupling between photosynthetic pigments