The Phase Properties of the Field Interacting with Λ-type Atoms via Raman Coupling in a Dissipative Cavity

Abstract

By means of Pegg and Barnett phase formalism,the phase properties of the field interacting with two Λ-type three-level atoms via Raman coupling in a phase damped cavity is discussed.The influences of decay coefficient of the cavity and the intensity of the field on the phase distribution as well as its fluctuation are discussed.The results show: if there is absence of the phase damping,the phase distribution oscillates with the period π/λ.It presents single leaf at t=nπ/λ,but it splits into multi-leaf construction during the evolution period due to the interaction between the field and the atoms.If there is presence of the phase damping,the obvious leaf construction of the phase distribution become obscure and contract into a circle,which indicates the random distribution of the phase.Moreover,the larger the decay coefficient is,the more rapidly the phase becomes random distribution.The narrowing of the leaf and the increasing amplitude of the phase distribution corresponds to a stronger field.The phase fluctuation shows damped oscillatory behavior and ultimately reaches a steady value in the phase damped cavity.The time for it to approach the steady value shortens when decay coefficient increases.