Cavity QED photons for generating a double-cavity-induced transparency

A method is presented for creating single- and double-cavity-induced transparency based on a cavity QED framework. Using this method we develop a fully quantized model of a cavity-induced transparency (CIT) scheme previously proposed [P. R. Rice and R. J. Brecha, Opt. Commun. 126, 230 (1996)] adopting the quantum-jump approach. This allows us to analyze the interaction of $N$ cavity fields with an $(N+1)$-level quantum system where $N=2,3$ for the cases of single- and double-cavity-induced transparency, respectively. In the steady-state limit, a general analytic expression for the linear susceptibility of a weak cavity field is obtained and $N\ensuremath{-}1$ transparency windows are observed. In the model we consider, no external fields are required to induce the transparency and the CIT effect is fully generated by cavity QED photons. We also compare the numerical integration of density-matrix equations with the analytical solutions provided by the quantum-jump approach and show that both results are in excellent agreement.