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Holstein-Primakoff transformation for the study of cooperative emission of radiation

1975; American Institute of Physics; Volume: 11; Issue: 3 Linguagem: Inglês

10.1103/physreva.11.981

0556-2791

E. Ressayre, A. Tallet,

Quantum Mechanics and Applications

We investigate properties of the cooperative emission of radiation from $N$ identical two-level atoms by using, for the collective atomic operators, the Holstein-Primakoff transformation to boson operators. In the basis of the Glauber states, a weight function is associated with the atomic density operator. The equation of motion for the weight function is derived from the master equation and approximate solutions are given in the two limit cases of superradiance and diffusion. The moments of the radiation intensity are calculated and are found to be in close agreement with previous works.