Model of the two level quantum dots ensemble interacting with coherent   radiation
  We consider the model of quantum dots interacting with coherent radiation when the relaxation processes may be neglected. The system under investigation consists of two discrete energy levels of the quantum dots in the presence of strong electron-electron Coulomb interaction and the transitions between these levels in response to electromagnetic radiation. By using the suitable generalisation of the Hubbard model the system of equations describing the evolution of the state of quantum dot was derived. 
Andrey Maimistov, Elena Kazantseva, Sergei Elyutin