We investigate several approximate treatments of the pulse propagators
describing the effects of electronically resonant ultrashort light pu
lses on the states of molecules in condensed phases, including the cla
ssical Franck approximation and a quadratic Hamiltonian treatment. Usi
ng a Morse oscillator model of iodine, we examine the effects of the i
nitial form and motion of the pump-induced nuclear density matrix incr
ement on pump-probe signals. We also clarify the conditions of high te
mperature and short-pulse duration under which the contribution of nuc
lear dynamics in the electronic ground state to a pump-probe signal wi
ll bear a definite sign.