References
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An identical form of the superradiant master equation was derived independently byG. S. Agarwal (ref. (3)).Bonifacio, Schwendimann andHaake choose to consider a specific geometric configuration for the active medium and give the necessary and sufficient conditions for the validity of the master equation.
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As originally constructed, the superradiant master equation of ref. (3) contains also relaxation terms which cause a damping in the initial value of the angular momentumJ.
Haake andGlauber have analyzed the degree of initial excitation leading to macroscopic fluctuations of the atomic and field operators, and concluded that the transition value for the initial inversion is independent of the number of atoms and of the order of (10÷100) parts in 1024 from total inversion. Here the number 1024 is only used for illustrative purposes: in practice only a small fraction of the total number of atoms can be prepared in a collective state. SeeF. T. Arecchi andE. Courtens:Phys. Rev. A,2, 1730 (1970).
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Narducci, L.M., Bowden, C.M. & Coulter, C.A. Atomic coherent-state representation of superradiance. Lett. Nuovo Cimento 8, 57–62 (1973). https://doi.org/10.1007/BF02727630
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DOI: https://doi.org/10.1007/BF02727630