  Large-scale simulations of the spin dynamics in quantum dots subjected to
trains of periodic laser pulses enable us to describe and understand related
experiments. By comparing the data for different models to experimental
results, we gain an improved understanding of the relevant physical mechanisms.
Using sophisticated numerical approaches and an efficient implementation
combined with extrapolation arguments, nonequilibrium stationary states are
reached for parameter ranges close to the ones in real experiments. With the
help of high performance computing, we can tune the experimental parameters to
guide future experimental research. Importantly, our simulations reveal the
possibility of resonant spin amplification in Faraday geometry, i.e., when a
longitudinal magnetic field is applied to the quantum dots.
