Abstract
A new method for the description of simultaneous creation, annihilation, propagation and relaxation of excitations in exciton (electron) systems interacting with a phonon bath and an ultrashort quantum optical pulse is developed on the basis of generalized master equations derived by using a time-dependent projector. It is shown, that standard theories starting from an already created excitation at a given place, without any off-diagonal elements of the exciton density matrix, have a very limited area of application because off-diagonal elements are generally nonzero once the excited pulse switches off. Derived equations also describe the influence of quantum statistics of the pulse.
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