Evaluation of time-resolved photoemission spectra from nonequilibrium, time-domain Green functions

Recent experiments have shown the power of femtosecond time-resolved, pump-probe photoelectron spectroscopy to probe, directly, the nonequilibrium, real-time dynamics of excitations in a correlated material. We use nonequilibrium dynamical mean-field theory to study the spinless Falicov-Kimball model driven (pumped) out of equilibrium by a constant electric field turned on at $t=0$. We demonstrate the proper evaluation of the time-resolved photoemission intensity as a function of pump-probe delay for both metallic and Mott-insulating phases of the model and the dependence of the intensity profile on the specific details of the probe pulse's lineshape and duration.