Excitation Dependent Dephasing and the Stability of the Lorenz Model for a Homogeneously Broadened Unidirectional Ring Laser

Abstract

The derivation of the mean field limit equations for a unidirectional homogeneously broadened ring laser is based on the density matrix derivation of the induced atomic polarization. This approach utilizes phenomenological longitudinal and transverse relaxation rates γ11 and γ⊥, which are assumed to be independent of the values of the density matrix elements. This restriction may in some cases be unrealistic, especially in gaseous systems. It is well known that the collision cross-sections for atomic species such as Na are state dependent. These alterations are in fact responsible for effects such as laser induced diffusion[1],[2].