IR control of atoms laser instability

Abstract

In this paper we show how to control the quantum laser atoms instability using IR radiation. The control can be achieved by controlling the scattering length constant via the infrared coupling constant. This method is applied in the scheme of a continuous CW laser and involves three occupation levels in the condensed atoms.This atoms in Lambda configuration the description of which is given by a Reformed Gross-Pitaevskii equation (RGPE), together with a rate equation.The system is taken to a nonconservative complex Ginzburg Landau equation (CGLE) description from where we use the Benjamin-Feir stability criterium.This method allows us a theoretical construction of any atom laser even for negative interaction constant as is the case of $^{7}Li$.