  The aim of this work is to study the non-equilibrium dynamics of electrons in
a coupled quantum well pair. To achieve this aim, we consider a non-symmetric
distribution of electrons in a double quantum well. We derive the nonlinear
dynamical evolution of the carrier wave functions considering electron-phonon
interactions and a time-dependent Hartree potential in multielectron quantum
dots. We show the possibility of having an electrostatic trap for part of the
electrons which are injected into one of the quantum wells.
