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We relate the memory kernel in the Nakajima-Zwanzig-Mori time-convolutionapproach to the reduced system propagator which is often used to obtain thekernel in the Tokuyama-Mori time-convolutionless approach. The connectionprovides a robust and simple formalism to compute the memory kernel for ageneralized system-bath model circumventing the need to compute high ordersystem-bath observables. We illustrate this for a model system withelectron-electron and electron-phonon couplings, driven away from equilibrium.

Note: On the memory kernel and the reduced system propagator