The dressed state structure of this system has proved to be rich and affected by decoherence in a nontrivial way, despite the simplicity of its Hamiltonian. However, the new coupling regimes do not produce very exciting lineshapes. In this case, a rich underlying physics is kept hidden by the broadening, and claims that are sometimes being made that QDs are too much affected by decoherence to provide useful physics under incoherent excitation, prove to be true in this particular case, whose interest is therefore chiefly academic, in the fact that it can be solved exactly. A way to let emerge the quadruplets and triplets in their full form, in an actual experimental system or in theory, would be to probe the structure (once in the SS) with a second weak excitation laser. For instance, a cw resonant probe, modelled with a Hamiltonian like that in Eq. (2.68), would allow us to analyze the dressed states through absorption and transmission without bringing more decoherence into the system.
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