In this manuscript, we present a theoretical framework
and its
numerical implementation to simulate the out-of-equilibrium electron
dynamics induced by the interaction of ultrashort laser pulses in
condensed-matter systems. Our approach is based on evolving in real
time the density matrix of the system in reciprocal space. It considers
excitonic and nonperturbative light–matter interactions. We
show some relevant examples that illustrate the efficiency and flexibility
of the approach to describe realistic ultrafast spectroscopy experiments.
Our approach is suitable for modeling the promising and emerging ultrafast
studies at the attosecond time scale that aim at capturing the electron
dynamics and the dynamical electron–electron correlations via
X-ray absorption spectroscopy.
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