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Cavity quantum electrodynamics advances the coherent control of a singlequantum emitter with a quantized radiation field mode, typically piecewiseengineered for the highest finesse and confinement in the cavity field. Thisenables the possibility of strong coupling for chip-scale quantum processing,but till now is limited to few research groups that can achieve the precisionand deterministic requirements for these polariton states. Here we observe forthe first time coherent polariton states of strong coupled single quantum dotexcitons in inherently disordered one-dimensional localized modes in slow-lightphotonic crystals. Large vacuum Rabi splittings up to 311 {\mu}eV are observed,one of the largest avoided crossings in the solid-state. Our tight-bindingmodels with quantum impurities detail these strong localized polaritons,spanning different disorder strengths, complementary to model-extracted puredephasing and incoherent pumping rates. Such disorder-induced slow-lightpolaritons provide a platform towards coherent control, collectiveinteractions, and quantum information processing.

Strongly coupled slow-light polaritons in one-dimensional disordered localized states