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This article is concerned with the time evolution of a $\frac{1}{2}$-spinparticle in a constant external magnetic field with the quantizedelectromagnetic field (photons). We derive a Lindblad (or GKLS) typeapproximation of the spin dynamics together with a precise control of the errorcoming from this approximation. The error term is bounded by $g^2$ where $g$ isthe coupling constant of the spin-photon interaction. The point here is theuniformity in time $t>0$ of this error control.

Lindblad approximation and spin relaxation in quantum electrodynamics