Electron self-energy in quantum dots

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Abstract
The self-energy of an electron in a quantum dot with two electronic energy levels is calculated in the self-consistent Tamm-Dancoff approximation. The electron is coupled to dispersionless bulk modes of optical phonons of GaAs. The joint spectral density, characterizing the relaxation rate of the electron between the excited and the ground state, is presented. The relation of the results to the issue of the so-called phonon bottleneck, to the width of the spectral lines of the optical transitions, and to the hot-electron relaxation in small quantum dots, is discussed.