A Link Between Quantum- and Semi-Classical Theories for Super-Radiance via an Unrestricted Markovian Model

For the past few years many superfluorescence experiments have been realized in the infrared (or near infrared) frequency range for pencil-shaped samples [1–5]. In the two opposite directions the experiments exhibit the emission of an intense radiation after a considerable delay with respect to the characteristic superradiant time TR (about a hundred τR). These two radiations consist, in general, of several successive pulses with decreasing intensities, or ringings [1,3] (the single-pulse superfluorescence in Cesium [5] will be discussed later).