The author re-derives the standard finite-temperature optical Bloch equations for a two-level system by splitting dissipation into quantum vacuum and thermal fluctuation contributions.
(B1) is converted into I[ω, ∆E,t,f (ω)] = ∮ C dωf (ω) e−i(ω−∆E)t ω − ∆E +iǫ, (B2) where the contour C is plotted in Fig
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The optical Bloch equation for the finite-temperature fluctuations
The author re-derives the standard finite-temperature optical Bloch equations for a two-level system by splitting dissipation into quantum vacuum and thermal fluctuation contributions.