Abstract
In this contribution a nonlinear type of the correlated two-mode states ( nonlinear pair-coherent states (NLPCS)) is introduced. Based on the resonant ion - cavity interaction, we propose a scheme to generate these states revealing their connection with the pair-coherent state (PCS) and investigate their nonclassical properties. The practical feasibility of this method is also discussed. The s-parameterized characteristic function (CF) of the NLPCS is considered. The s-parameterized quasi-probability distribution function (QDF) is investigated.