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Work, moments of work and heat flux are studied for the generic case of astrongly driven twolevel system immersed in a bosonic heat bath in domains ofparameter space where perturbative treatments fail. This includes particularlythe interplay between non-Markovian dynamics and moderate to strong externaldriving. Exact data are compared with predictions from weak couplingapproaches. Further, the role of system-bath correlations in the initialthermal state and their impact on the heat flux are addressed. The relevance ofthese results for current experimental activities on solid state devices isdiscussed.

Work and heat for two-level systems in dissipative environments: Strong driving and non-Markovian dynamics