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We apply a full-polaron master equation and a weak-coupling non-Markovianmaster equation to describe the steady-state time-averaged properties of adriven two-level system, an electron coherently tunneling between doublequantum dots (DQDs), interacting with a bosonic phonon bath. Comparing theresults obtained using these two master equations with those from a recent DQDexperiment and its corresponding weak-coupling theoretical method, we find thatthe original parameter set used in the experiment and theoretical method is notin the weak-coupling parameter regime. By using the full-polaron masterequation with a slight adjustment on only the value of the interdot separationin the original experimental parameter set, we find that a reasonable fit tothe experimentally measured time-averaged steady-state population data can beachieved. The adjusted interdot separation is within the possible valuesallowed by the geometry of the surface gates that define the DQD in theexperiment. Our full-polaron equation approach does not require the specialrenormalization scheme employed in their weak-coupling theoretical method, andcan still describe the experimental results of driving-induced phonon-enhancedsteplike shoulder behaviors in the experiment. This demonstrates that thefull-polaron master equation approach is a correct and efficient tool todescribe the steady-state properties of a driven spin-boson model in the caseof strong system-environment coupling.

Full-polaron master equation approach to dynamical steady states of a driven two-level system beyond the weak system-environment coupling