This simulation shows a set of atoms being stimulated by a pulse of laser light. The light pulse is represented by a Gaussian function with a duration of the order of $T_p$:

$ E_0(t) = E_0 e^{-t^2/T_p^2}, $

The dynamics of atomic transitions are simulated by solving the Liouville-von Neumann equation for a two-level system:

$ \dfrac{\partial \hat{\rho}}{\partial t} = -\dfrac{i}{\hslash} \left[ \hat{H}, \hat{\rho} \right]. $

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