TIME-RESOLVED OPTICAL-SPECTRUM FOR TRANSIENT RESONANT LIGHT-SCATTERING

A general formula of the time-resolved optical spectrum for transient resonant light scattering is derived systematically by means of the op erator algebra within the formalism of nonequilibrium thermo field dyn amics (NETFD). The formula is applied to an analytically solvable mode l of the localized electron and phonon system, i.e., second-order ligh t scattering due to the optically active three electronic states whose intermediate state is dynamically modulated by the phonon interaction mode. The derivation of the analytical expression for a four-point fu nction, needed to obtain the spectrum, is performed with the help of t he algebraic manipulations in NETFD, which showed the advantage of its methodology with respect to nonequilibrium transient phenomena. The t hree-dimensional profiles of the Raman and luminescence components in the time-resolved spectrum in the model are presented to show how the stochastic character comes out in the fast modulation limit, and how t he dynamical behavior of the phonon system causing the modulation of t he intermediate electronic state comes out in the slow modulation limi t.