Journal of Chemical Physics, Vol.114, No.9, 3868-3879, 2001
Dynamical semigroup Fokker-Planck equation approach to transient absorption and fluorescence upconversion spectroscopies
A dynamical semigroup Fokker-Planck equation, which meanwhile satisfies also the semiclassical detailed-balance relation at arbitrary temperatures, is constructed and further applied to nonlinear spectroscopic processes of two-surface molecular systems in condensed phases. Included in dissipation are the T-1-vibrational relaxation and the pure T-2-dephasing in both nuclear and electronic degrees of freedom. A mixed Heisenberg-Schrodinger picture of the field-dressed optical response function is proposed to efficient evaluation of pulsed-laser spectroscopies. Numerical simulations are carried out in a model one-dimensional dissipative Morse molecular system. Both the pump-probe absorption and the time-frequency resolved fluorescence spectra are demonstrated and analyzed in detail in terms of the underlying dissipative dynamics. (C) 2001 American Institute of Physics.