Analytic Solutions of Non-Markovian Master Equations for Superfluorescence
In 1973 Skribanowitz et al. made the first observation of superfluorescence in optically pumped HF gas . One feature that was not predicted by the theoretical studies then available was ringing. Since its discovery, several authors [1–4] have tried to explain this phenomenon by taking into consideration the propagation effects such as field inhomogeneities and stimulated effects. In this article, we will focus our attention on the non-Markovian master equation derived from first principles by Bonifacio and Lugiato  in which the stimulated effects are incorporated to account for the ringing. We will use the Dicke state representation and obtain probability distributions for the case of no atom-field correlation and for the case when only first order atom-field correlation is considered. The expectation values of some basic operators will also be obtained explicitly.
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- 4.E. Ressayre and A. Tallet (preprint).Google Scholar