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We introduce and develop a slave-spin mean-field technique for describing ageneric interacting two level systems under time-dependent drivings, where anauxiliary S=1 spin is added to describe the localized character of theelectrons. We show that the approach efficiently captures the main effects ofthe strong correlations as well as the dynamical nature of the driving, whileremaining simple enough to allow for an analytical treatment. Our formalismprovides a flexible solution method, which can be applied to different deviceconfigurations at an extremely small numerical cost. Furthermore, it leads to avery practical description of adiabatically driven systems in terms of frozenstatic solutions.

Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system