Abstract
Using the Glauber-SudarshanP-representation for the field modes and a quasi-distribution function recently presented for arbitrary quantum systems we derive an exact generalized Fokker-Planck equation for a multi-mode laser containing a set of multi-level atoms with homogeneous and inhomogeneous level broadening. By introduction of suitable collective atomic coordinates this generalized Fokker-Planck equation is reduced to an ordinary one which may serve as a basis for the adequate treatment of laser light statistics.
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Haken, H., Vollmer, H.D. The Fokker-Planck equation of a laser with many modes and multi-level atoms. Z. Physik 242, 416–431 (1971). https://doi.org/10.1007/BF01394680
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DOI: https://doi.org/10.1007/BF01394680