Generation and some nonclassical properties of a nonlinear finite-dimensional pair coherent state

Abstract

We propose a scheme for generating a nonlinear finite-dimensional pair coherent state of the vibrational motion of an ion in a two-dimensional trap. It is a type of the correlated two-mode states but in finite dimensions. Based on the resonant ion–cavity interaction, we propose a scheme to generate these states revealing their connection with the converter type of interaction and investigate some of their nonclassical properties.