Short time de-excitation dynamics of a two-level electrons system. Non-perturbative solution of the master equation

A new general non-perturbative method for the solution of the generalized m aster equation for a simple two-level model of the electron-phonon system c oupled to a thermodynamic reservoir is suggested. The model includes a two- level system interacting linearly with the single-mode phonons coupled to t he thermodynamic bath. For the interaction of the bath with the vibrational mode we use a stochastic model generalized to finite temperatures. The res ults are compared with a direct numerical solution.