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A generalized Jaynes-Cummings model for the N-level atom and (N − 1) modes

Author

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  • Abdel-Hafez, A.M.
  • Abu-Sitta, A.M.M.
  • Obada, A.-S.F.

Abstract

A generalized Jaynes-Cummings model is presented to discuss the interaction between an N-level atom and (N − 1) modes of the radiation field. The level to which the rest of the levels are connected lies in the middle. A detuning parameter is introduced to make the model solvable. Distribution and characteristic functions and different statistical averages are calculated. Multiphoton processes are discussed. The system of a three-level atom and two modes with its three different configurations, and a configuration of the system of a five-level atom and four modes are considered under specified initial atomic conditions. The interaction with squeezed modes of light is investigated. The dependence of the features of the phenomenon of collapses and revivals on the configuration of the system, the atomic initial conditions, the detuning parameter and the statistical aspects of the interacting squeezed modes are shown.

Suggested Citation

  • Abdel-Hafez, A.M. & Abu-Sitta, A.M.M. & Obada, A.-S.F., 1989. "A generalized Jaynes-Cummings model for the N-level atom and (N − 1) modes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(2), pages 689-712.
    • Handle: RePEc:eee:phsmap:v:156:y:1989:i:2:p:689-712
    DOI: 10.1016/0378-4371(89)90088-5
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