Excitation and dissipation of interacting many-electron system

A new formalism based on the equation of motion for the reduced single-electron density matrix has been developed to simulate the dissipative interacting many-electron systems. The electron correlation is treated within the random phase approximation. The Markovian bath is adopted. The resulting nonradiative dissipative term is of Lindblad-like form. The formalism is applied to a butadiene molecule embedded in a liquid or solid environment, where the valence electrons are taken as the system and the nuclear vibrational modes as the bath. Various excitations are found decaying differently, e.g., different absorption peak widths are observed.