https://doi.org/10.1140/epjd/e2005-00048-2
Quantum properties of the codirectional three-mode Kerr nonlinear coupler
1
Department of Mathematics and Computer Science, Faculty of
Science, Suez Canal University,
Ismailia, Egypt
2
Department of Optics, Palacký University, 17. listopadu 50,
772 07 Olomouc, Czech Republic
3
Mathematics Department, College of Science, King Saud
University, P.O. Box 2455, 11451 Riyadh, Saudi Arabia
Corresponding author: a m.sebawe@physics.org
Received:
5
November
2004
Revised:
25
January
2005
Published online:
19
April
2004
In the present communication, we consider 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.
PACS: 42.50.Dv – Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements / 42.60.Gd – Q-switching
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
