  The temporal dynamics of stimulated emission is studied, with the particular
emphasis on stimulated emission induced by x-ray pulses interacting with
nuclei. In typical nuclear forward scattering experiments, the short incident
x-ray pulse is accompanied by a huge number of off-resonant background photons.
This prompts the question, if stimulated emission can be observed in the
delayed nuclear scattering signal which is emitted after the incident pulse has
passed. We find that the stimulated photons essentially overlap with the
stimulating pulse. To overcome this problem, we identify the reduction of the
delayed scattered light intensity as alternative signature for the stimulated
emission. We further study a phase-sensitive variant of stimulated emission in
the low-excitation regime, which provides convenient control parameters to
facilitate the detection. Finally, we analyze the possibility to observe
stimulated emission in nuclei driven by free electron lasers or synchrotron
radiation sources.
