ENTANGLED SUPERPOSITIONS OF DISTINGUISHABLE STATES VIA NONLINEAR-WAVEMIXING

We propose and investigate a scheme describing the interaction of two field modes in a nonlinear structure including second- and third-order nonlinearities. With the help of exact solutions for both Heisenberg equations of motion and the Schrodinger equation we find three differe nt dynamical regimes of the described scheme. In one of the regimes th e generation of different macroscopically distinguishable states is po ssible. We show that the resulting two-mode wavefunction can contain a n infinite set of different Schrodinger-cat states.