Nonlinear theory of the degenerate quantum-beat laser: Lasing without inversion

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Abstract
We present the nonlinear theory for lasing without population inversion in the degenerate Λ-type quantum-beam laser by using the density-operator method. The master equation for the degenerate quantum-beat laser is derived, from which the equation of motion for the mean photon number is obtained. The conditions for lasing without population inversion are discussed, which are the same for linear and nonlinear theories. The corresponding Fokker-Planck equation is obtained, and the possibility of diffusion coefficient reduction is discussed.