We theoretically investigate slow and fast light propagation and pulse velocity control in a nanocavity containing a single quantum dot side-coupled to a planar-photonic-crystal waveguide. We demonstrate that low coupling strength (i.e., the weak coupling regime) between a cavity and a dot, under on-resonance condition, can lead to delays of about for a pulse -width of . The group delay dependence on the various coupling parameters suggests achievable delays of and consequently very slow light speeds of around in a cavity-waveguide section. We also show that under off-resonant condition one can achieve significant pulse advancement of .
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