Surface hopping within an exciton picture - An electrostatic embedding scheme.

We report the development and the implementation of an exciton approach that allows the computing of ab initio non-adiabatic dynamics simulations of electronic excitation energy transfer in multichromophoric systems. For the dynamics a trajectory based strategy is used within the surface hopping formulation. The approach features a consistent hybrid formulation that allows the construction of potential energy surfaces and gradients by combining quantum mechanics and molecular mechanics within an electrostatic embedding scheme. As an application, the study of a molecular dyad consisting of a covalently bound BODIPY moiety and a tetrathiophene group is also presented using time-dependent density functional theory (TDDFT). The results obtained with the exciton model are compared to previously performed full TDDFT dynamics of the same system. Our results show excellent agreement with the full TDDFT results indicating that the couplings that lead to excitation energy transfer (EET) are dominated by Coulomb interaction terms and that charge transfer states are not necessary to properly describe the non-adiabatic dynamics of the system. The exciton model also reveals ultrafast coherent oscillations of the excitation between the two units in the dyad, which occur during the first 50~fs.