Quantum properties of the codirectional three-mode Kerr nonlinear coupler

Abstract

We investigate the quantum properties for the codirectional three-mode Kerr nonlinear coupler. We investigate single-, two- and three-mode quadrature squeezing, Wigner function and purity. We prove that this device can provide richer nonclassical effects than those produced by the conventional coupler, i.e. the two-mode Kerr coupler. We show that it can provide squeezing and the quadrature squeezing exhibiting leaf-revival-collapse phenomenon in dependence on the values of the interaction parameters. In contrast to the conventional Kerr coupler two different forms of cat states can be simultaneously generated in the waveguides. We deduce conditions required for the complete disentanglement between the components of the system.

23 pages, 6 figures

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• Variance squeezing and entanglement of the XX central spin model
• Kicked nonlinear quantum scissors and entanglement generation
• A theoretical study of nonclassical effects in optical and spin systems and their applications
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system