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We study the crucial role played by the solid-state environment indetermining the photon emission characteristics of a driven quantum dot. Forresonant driving, we predict a phonon-enhancement of the coherently emittedradiation field with increasing driving strength, in stark contrast to theconventional expectation of a rapidly decreasing fraction of coherent emissionwith stronger driving. This surprising behaviour results from thermalisation ofthe dot with respect to the phonon bath, and leads to a nonstandard regime ofresonance fluorescence in which significant coherent scattering and the Mollowtriplet coexist. Off-resonance, we show that despite the phonon influence,narrowing of dot spectral sideband widths can occur in certain regimes,consistent with an experimental trend.

Model of the optical emission of a driven semiconductor quantum dot: phonon-enhanced coherent scattering and off-resonant sideband narrowing