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Optical Review

Analytical solution of a three-level atom coupled to four systems of N-two-level atoms

D. A. M. Abo-Kahla, M. M. A. Ahmed, A. T. M. Makram-Allah

Published Oct 29, 2019• 7 citations
Publisher
DOI
10.1007/s10043-019-00559-7

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We present a complete analytical solution for a single four-level atom strongly coupled to a cavity field mode and driven by external coherent laser fields. The four-level atomic system consists of a three-level subsystem in an electromagnetically induced transparency configuration, plus an additional atomic level; this system has been predicted to exhibit a photon blockade effect. The solution is presented in terms of polaritons. An effective Hamiltonian obtained by this procedure is analyzed from the viewpoint of an effective two-level system, and the dynamic Stark splitting of dressed states is discussed. The fluorescence spectrum of light exiting the cavity mode is analyzed and relevant transitions identified.