  We analyzed time evolution of the localized charge in the system of two
interacting single level quantum dots (QDs) coupled with the continuous
spectrum states in the presence of electron-phonon interaction.
  We demonstrated that electron-phonon interaction leads to the increasing of
localized charge relaxation rate. We also found that several time scales with
different relaxation rates appear in the system in the case of non-resonant
tunneling between the dots. We revealed the formation of oscillations in the
filling numbers time evolution caused by the emission and adsorption processes
of phonons.
