We study the two-time correlation function and the resonance fluorescencespectrum of a semiconductor quantum dot excited by a strong off-resonant laserpulse. The obtained analytical expressions exhibit a specificdetuning-dependent damping of Rabi oscillations of the dressed quantum dot aswell as a detuning-dependent width of Mollow-triplet lines. In the absence ofpure dephasing, the central peak of the triplet is broadened, upon increasingdetuning, but the blue and red side peaks are narrowed. We demonstrate thatpure dephasing processes can invert these dependences. A crossover between theregimes of detuning-dependent narrowing and broadening of the side and centralpeaks is identified. The predicted effects are consistent with resentexperimental results and numerical calculations.
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