Different from my previousquestion, which dealt with a convention my professor used, I now want to derive the optical Bloch equations in a semiclassical model, but this time in the shape they are given in for example on Wikipedia:
dρggdt=i2(Ω∗ρeg−Ωρge),dρeedt=i2(Ωρeg−Ω∗ρge),dρgedt=−(iδ)ρge+i2Ω∗(ρee−ρgg),dρegdt=−(iδ)ρeg+i2Ω∗(ρgg−ρee).
I'm not interested in the attenuation terms, so I ommitted them. Problems arrise with the off-diagonal equations: Instead of δ, the factor infront of ρge becomes ω0. Does anybody know where a semiclassical Model and the von Neumann equations are used to derive the optical Bloch equations? I have only found this derivation for pure states, but in my opinion this derivation lacks some generality.
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