This Thesis describes a custom-made cavity quantum electrodynamics (QED) toolbox for a quantum dot (QD) emitter in an optical micropillar. The toolbox has been developed using MATLAB and it allows using either a full cavity-QED model or an effective adiabatic Hamiltonian to work only with the QD subspace. The toolbox simulates output intensities, first- and second-order correlations, and flux spectral densities both in continuous and pulsed wave regime. The results show that the adiabatic model reduces the computational cost in comparison to the full model, and allows performing accurate quantum optics simulations in the weak coupling regime between the QD and the cavity.