Nonclassical properties of a contradirectional nonlinear optical coupler
Kishore Thapliyal, Anirban Pathak, Biswajit Sen, and Jan Perina

TL;DR
This paper demonstrates the quantum nonclassical properties such as squeezing, antibunching, and entanglement in the output of a contradirectional asymmetric nonlinear optical coupler using a quantum mechanical model with weak initial fields.
Contribution
It introduces a fully quantum mechanical analysis of a contradirectional nonlinear optical coupler, revealing higher order nonclassical phenomena and their dependence on system parameters.
Findings
Existence of single-mode and intermodal squeezing.
Presence of higher order antibunching and entanglement.
Nonclassical properties vary with coupling constants and phase mismatch.
Abstract
We investigate the nonclassical properties of output fields propagated through a contradirectional asymmetric nonlinear optical coupler consisting of a linear waveguide and a nonlinear (quadratic) waveguide operated by second harmonic generation. In contrast to the earlier results, all the initial fields are considered weak and a completely quantum mechanical model is used here to describe the system. Perturbative solutions of Heisenberg's equations of motion for various field modes are obtained using Sen-Mandal technique. Obtained solutions are subsequently used to show the existence of single-mode and intermodal squeezing, single-mode and intermodal antibunching, two-mode and multi-mode entanglement in the output of contradirectional asymmetric nonlinear optical coupler. Further, existence of higher order nonclassicality is also established by showing the existence of higher order…
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