Few-particle Electron Dynamics in Coupled Quantum Dots with Phonon Interaction

The time evolution of a correlated multi-electron state ina semiconductor coupled quantum dot, interacting withthe acoustic phonon bath, is calculated within the masterequation formalism, including electron-electron interactionexactly through the configuration-interactionapproach. The system is evolved after an initializationphase, with the system under strong bias, leading to thecharge density mainly localized in one of the dots. Whenthe system is evolved (in unbiased condition), dampedmulti-frequency charge oscillations are found, whichstrongly depend on the 3D system geometry and initialization.We describe the approach used to obtain themulti-electron states and to include the phonon-inducedtransitions between them in the time evolution. Furthermore,the effect of a magnetic field applied in the axialdirection of the vertical double-dot cylindrical structureis discussed.