Quantum properties of the codirectional three-mode Kerr nonlinear coupler
Faisal A. A. El-Orany, M. Sebawe Abdalla, Jan Perina

TL;DR
This paper explores the quantum properties of a three-mode Kerr nonlinear coupler, revealing its ability to generate richer nonclassical effects, including simultaneous cat states and complex squeezing phenomena, surpassing conventional two-mode couplers.
Contribution
It introduces a detailed analysis of the quantum effects in a three-mode Kerr coupler, demonstrating its enhanced nonclassical capabilities and conditions for disentanglement.
Findings
Richer nonclassical effects than two-mode Kerr couplers
Simultaneous generation of two different cat states
Leaf-revival-collapse phenomenon in quadrature squeezing
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.
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