Effect of atomic ensemble position on the dynamics of cold atoms in an optical cavity: normal-mode splitting

We consider the dynamics of cold atoms coupled to the light field via radiation pressure within a Fabry-Perot cavity. We observe the effects of changing the effective positioning of the atomic ensemble on the effective mechanical frequency and the damping rate of cold atoms. We further study the displacement spectrum of the atomic oscillator and analyze the occurrence of normal mode splitting into two modes. We mainly analyze how the position of the ensemble acts as an additional tool in significantly altering the atomic and cavity field interaction strength. The present scheme enables further studies of coherently controlling the dynamics of the cold atoms.