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Time-averaged quantum dynamics and the validity of the effective Hamiltonian model

Time-averaged quantum dynamics and the validity of the effective Hamiltonian model

We develop a technique for finding the dynamical evolution in time of an averaged density matrix. The result is an equation of evolution that includes an effective Hamiltonian, as well as decoherence terms in Lindblad form. Applying the general equation to harmonic Hamiltonians, we confirm a previous formula for the …