A semiclassical algorithm is explored to a four-energy level model, aiming to find out the factors that affect the dynamics behavior during the pump process. The impacts of pump intensity Ωp, non-radiative transition rate γ43 and decay rate of electric dipole δ14 are discussed in detail. The calculation results show that large γ43, small δ14, and strong pumping Ωp are beneficial to the establishing of population inversion. Under strong pumping conditions, the entire pump process can be divided into four different phases, tentatively named far-from-equilibrium process, Rabi oscillation process, quasi dynamic equilibrium process and ‘equilibrium’ process. The Rabi oscillation can slow the pumping process and cause some instability. Moreover, the duration of the entire process is negatively related to Ωp and γ43 whereas positively related to δ14.
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