Maxwell–Bloch model Maxwell–Bloch model Numerical issues ModelWe now do not assume that the field E(t) is given, but solution to the Maxwell equations ∂_{t} B + curl E = 0, ∂_{t} E - c^{2} curl B = - ∂_{t} P/ε. The coupling with the Bloch equations is done via the expression of the polarization P=N_{a}Tr(pρ) and the space is a parameter in the Bloch equations via E(x,t). Concerning the Cauchy problem for the Maxwell–Bloch system, we can find a unique solution for small times [Bid01]. For the long time, an answer is given with some extra assumptions in [Dum05] |