A quantum-mechanical description of a vibronic multimode standing-wave transition-metal ion laser is presented. The impurity ion levels are coupled both by the radiation field and by the phonons of the host lattice. A dynamic Heisenberg–Langevin set of equations for the material system and the photon and phonon operators, including radiative and nonradiative damping terms and quantum-stochastic forces, has been derived. The numerical solutions of those equations show the crucial role of the phonons in the laser dynamics. The competition between the photons and the phonons leads to regular stable self-pulsation for certain sets of parameters.
© 1999 Optical Society of America
(140.3580) Lasers and laser optics : Lasers, solid-state
(140.3600) Lasers and laser optics : Lasers, tunable
(140.5680) Lasers and laser optics : Rare earth and transition metal solid-state lasers
(190.3100) Nonlinear optics : Instabilities and chaos
(270.3430) Quantum optics : Laser theory
B. Ratajska-Gadomska and W. Gadomski, "Quantum theory of the vibronic solid-state laser," J. Opt. Soc. Am. B 16, 848-860 (1999)