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We derive a quantum-kinetic description of phonon-assisted F{\"o}rstertransfer between two coupled quantum dots (a quantum dot molecule). We showthat the exciton state decays to the ground state of the QDM via a combinationof the Rabi rotation and exponential decay. For moderately spaced dots thisprocess takes place on a picosecond time scale.

Phonon-assisted excitation transfer in quantum dot molecules