Squeezing of many-atom radiation in an optical cavity

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Abstract
A method developed in terms of the su(2) Lie algebra for the treatment of many-level atoms is now modified to treat the system of many two-level atoms interacting with a cavity field. Special attention is given to field squeezing up to fourth order. The effects of the number of atoms and detuning on the squeezing are investigated numerically for various initial-field intensities. It is found that the atomic cooperation effect on the squeezing is closely related to the initial-field excitation. When the initial excitation is strong, the cooperation enhances the squeezing, while in the case of weak excitation, it weakens the squeezing. The possibility of constructing many-atom micromasers is suggested.