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The problem of a driven quantum system coupled to a bath and coherentlydriven is usually treated using either of two approaches: Employing the commonsecular approximation in the lab frame (as usually done in the context ofatomic physics) or in the rotating frame (prevailing in, e.g., the treatment ofsolid-state qubits). These approaches are applicable in different parts of theparameter space and yield different results. We show how to bridge betweenthese two approaches by working in the rotating frame without employing thesecular approximation with respect to the driving amplitude. This allows us touncover novel behaviors in regimes which were previously inaccessible orinaccurately treated. New features such as the qualitative different evolutionof the coherence, population inversion at a lower driving amplitude, and novelstructure in the resonance fluorescence spectrum of the system are found. Weargue that this generalized approach is essential for analyzing hybrid systems,with components that come from distinctly different regimes which can now betreated simultaneously, giving specific examples from recent experiments onquantum dots coupled to optical cavities, and single-spin electron paramagneticresonance.

Bridging between Lab and Rotating Frame Master Equations for Open Quantum Systems