  The prospect of using light to probe or manipulate quantum materials has
become an active area of interest. Here, we investigate a quantum wire --
treated as a finite-sized one-dimensional electron gas -- that is coupled to a
single photonic mode. This work focuses on the radiative properties of the wire
when it is prepared in some excited state. One of our key results addresses the
photon cascade initiated by the creation of a single electron-hole pair.
Repeated photon emission leads to the generation of entanglement between the
electron and hole and the emission rates exhibit Dicke-like superradiance. In
general, the radiation is characterized by a competition between superradiance
and Pauli blocking. We find that the one-dimensional electron gas represents an
ideal system for investigating quantum coherent phenomena and quantum
entanglement. This work has direct relevance to applications in quantum
computation and quantum transduction.
