Entanglement of electronic states of impurities in a nanocrystal

It is shown that the dynamics of electronic states of impurities in a nanocrystal embedded in a bulk matrix can be described with the help of the model of a single-mode microcavity with quasi-resonant atoms and losses at the mirrors. In the proposed model, the dynamics of impurities is similar to the collective decay of atoms in a common bath. In the case of a nanocrystal, matrix phonons represent this bath. Impurities interact with the localized phonon mode of the nanocrystal owing to the electron-phonon interaction. The localized phonon mode is coupled with bath phonons at the nanocrystal boundary. In the dispersive limit, the standard model of collective relaxation appears, within the framework of which, different types of many-particle entangled electronic states of impurities are described. In the case of exact resonance, similar entangled states also appear, which are discussed for two impurities in a nanocrystal.