Incomplete electronic relaxation and population upconversion in quantum dots

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We calculate the electronic relaxation of a single electron in a quantum dot with two electronic orbital states, and with the electronic coupling to the longitudinal optical modes of the lattice vibrations included in the multiple scattering approximation to the electronic self-energy. This model shows that there is an incomplete electronic relaxation from the excited state to the ground state and also the incomplete increase of the population of the excited state after resonantly exciting the ground state. These theoretical results are compared with very similar recent findings reported in experimental papers.