Quantum dynamics of a four-channel Kerr nonlinear directional coupler

Julius, Rafael; Ibrahim, Abdel Baset Mohamed El Nabwi Abdel Hamid; Abd-Rahman, Μ. Kamil; Choudhury, Pankaj Kumar

doi:10.1007/s10043-018-0448-x

Cited by 12 publications

(3 citation statements)

References 26 publications

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“…Among these quantum systems, the nonlinear coupler has received a significant deal of interest due to its advantages as a simple-structured, experimentally realizable, and easily integrated system. Since the standard twowaveguide coupler has been proposed [8], several designs of nonlinear couplers have been suggested such as three-waveguide [9], four-waveguide nonlinear couplers [10], [11], cavity-assisted nonlinear couplers [12], [13], and nonlinear couplers with frequency mismatch [14]. Also, nonlinear couplers based on various nonlinear processes such as Kerr nonlinear effect [15]- [18], second harmonic generation [19], and four-wave mixing have been proposed [20].…”

Section: Introductionmentioning

confidence: 99%

Quantum Properties in Nonlinear Coupler with Raman Process.

Hanapi,

Ibrahim

2023

J. Phys.: Conf. Ser.

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In this work, we have examined the generation of squeezed states of light in a two-waveguide coupler in which Raman processes are active in one waveguide. Both waveguides are mutually linearly interacting through the field’s evanescent waves. We looked at a few interesting cases in which the system generated single mode squeezed states due to spontaneous and stimulated Raman processes. Under specific combinations of design parameters and phase mismatching conditions, squeezed states may take the form of collapses and revivals, or the second quadrature of the optical mode may oscillate completely below the short-noise limit of a coherent state.

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Section: Introductionmentioning

confidence: 99%

Quantum Properties in Nonlinear Coupler with Raman Process.

Hanapi,

Ibrahim

2023

J. Phys.: Conf. Ser.

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“…As a source of quantum light, it offers more versatility in coupled-mode interactions. New possibilities of correlation between the modes in different channels are incorporated as a result of adding channel waveguides, and thus, a better mechanism for the generation of nonclassical effects could be established 22 – 25 .…”

Section: Introductionmentioning

confidence: 99%

“…Waveguiding structure has gained considerable attention in the development of nonlinear phenomena related to the generation of quantum effects 26 – 28 . We reported before the possibilities of generating enhanced nonclassical states via multichannel interactions exploiting nonlinear waveguides with the second- χ (2) 22 , 23 or third-order χ (3) 24 , 25 nonlinear effects. The basic concept behind this was to enhance the number of interacting modes by increasing the number of χ (2) or χ (3) waveguides, wherein each system was treated independently.…”

Section: Introductionmentioning

confidence: 99%

Quantum features of nonlinear coupler with competing nonlinearity

Julius

Ibrahim

Choudhury

et al. 2022

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In this work, we examine the quantum features of a multi-waveguide nonlinear coupler exploiting the second-and third-order nonlinearities. The considered system contains four identical channels, each with a single fundamental transverse mode. The essence of this type of nonlinear coupler is to examine the effect of two or more competing nonlinearities on the generated nonclassical features in this class of devices. Here, we consider the case of second harmonic generation, wherein the fundamental harmonic (FH) fields are up-converted in pairs to double-frequency second harmonic (SH) fields, which are then evanescently coupled with the fields from other Kerr nonlinear waveguides. Using the positive P representation of the phase space, the time-evolution of the density matrix could be mapped to the corresponding Fokker–Planck equation of a classical quasiprobability distribution. Using Langevin stochastic equation, an exact representation of the system in phase space led to the demonstration of sub-Poissonian property, squeezing, and entanglement. With more effective squeezing achieved in all channel waveguides, the present system with χ(2)–χ(3) interaction can be a more efficient alternative to other versions of nonlinear couplers such as the quantum optical dimer (QOD) and Kerr nonlinear coupler (KNC). Furthermore, such a structure offers more flexibility in coupled-mode interactions in the form of correlation between the modes in different waveguides. This provides a better mechanism for the generation of enhanced nonclassical effects.

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