Mohd Syafiq M. Hanapi

Universiti Teknologi MARA

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Abdel-Baset M.A. Ibrahim

Universiti Teknologi MARA

P. K. Choudhury

Zhejiang University

Rafael Julius

Universiti Teknologi MARA

Hichem Eleuch

Texas A&M University

Alaa M. Ibrahim

Martin Luther University Halle-Wittenberg

Ahmad Musleh Alrub

Al-Hussein Bin Talal University

Cooperative Institutions

Universiti Teknologi MARA

Martin Luther University Halle-Wittenberg

Aswan University

South Valley University

Egyptian Information Telecommunications Electronics and Software Alliance

Purdue University West Lafayette

Ain Shams University

Zhejiang University

State Key Laboratory of Modern Optical Instruments

Optics Technology (United States)

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Quantum Properties in Nonlinear Coupler with Raman Process.

Journal of Physics Conference Series (2023)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim

Abstract 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.

Waveguide

Quantum limit

10.1088/1742-6596/2627/1/012005

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Quantum Antibunching in Nonlinear Coupler Using Wigner Representation

Mohd Syafiq M. Hanapi Alaa M. Ibrahim P. K. Choudhury

Antibunching, a key characteristic of single-photon sources, is crucial for quantum cryptography and quantum computing [1]. Nonlinear couplers have significant potential as generators of nonclassical light [2,3]. However, Limited research has been reported on antibunching in nonlinear couplers [4,5]. This study investigates antibunching in an innovative design of a nonlinear coupler (as fig. 1 shows) featuring three nonlinear waveguides, each comprising a material that exhibits the second-order nonlinearity.

Representation

10.1364/jsapo.2024.20a_c43_5

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On the Detection of Single-Mode Squeezed States in Kerr Nonlinear Coupler

Journal of Physics Conference Series (2021)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim Rafael Julius

Abstract The generation of squeezed states of light in two guided waves Kerr nonlinear coupler (KNLC) was examined using both the analytical perturbative (AP) and the short-time approximation (STA) method. A comparative analysis between these two methods is provided. We have found that, at certain combinations of input parameters, the STA method may not be able to detect the generation of squeezed states of light in the current KNLC system. Consequently, some essential physics could be lost. On the other hand, for the AP method, all time-dependent terms are included in the mode solutions which improves its sensitivity to detect the generation of squeezed states.

Mode (computer interface)

10.1088/1742-6596/2075/1/012002

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Nonclassical light in a three-waveguide coupler with second-order nonlinearity

EPJ Quantum Technology (2024)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim Rafael Julius P. K. Choudhury Hichem Eleuch

Possible squeezed states generated in a three-waveguide nonlinear coupler operating with second harmonic generation is discussed. This study is carried out using two well-known techniques; the phase space method (based on positive-P representation) and the Heisenberg-based analytical perturbative (AP) method. The effects of key design parameters were investigated under various conditions, including full frequency matching, symmetrical and asymmetrical waveguide initialization, and both codirectional and contr-adirectional propagation. The system consistently produced long-lasting oscillatory squeezed states across all three waveguides, even when only one waveguide was pumped with coherent light while the others were in a vacuum state. Also, the performance and capacities of both methods are critically evaluated. For low levels of key design parameters and in the early stages of evolution, a high level of agreement between the two methods is noticed. In the new era of quantum-based technology, the proposed system opens a new avenue for utilising nonlinear couplers in nonclassical light generation.

Waveguide

10.1140/epjqt/s40507-024-00263-9

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Citations (1)

Quantum Kerr nonlinear coupler: analytical versus phase-space method

Canadian Journal of Physics (2021)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim Rafael Julius Hichem Eleuch

The generation of squeezed states of light in a two-mode Kerr nonlinear directional coupler (NLDC) was investigated using two different methods in quantum mechanics. First, the analytical method, a Heisenberg-picture-based method where the operators are evolving in time but the state vectors are time-independent. In this method, an analytical solution to the coupled Heisenberg equations of motion for the propagating modes was proposed based on the Baker–Hausdorff (BH) formula. Second, the phase space method, a Schrödinger-picture-based method in which the operators are constant and the density matrix evolves in time. In this method, the quantum mechanical master equation of the density matrix was converted to a corresponding classical Fokker–Planck (FP) equation in positive-P representation. Then, the FP equation was converted to a set of stochastic differential equations using Ito rules. The strengths and weaknesses of each method are discussed. Good agreement between both methods was achieved, especially at early evolution stages and lower values of linear coupling coefficient. On one hand, the analytical method seems insensitive to higher values of nonlinear coupling coefficients. Nevertheless, it demonstrated better numerical stability. On the other hand, the solution of the stochastic equations resulting from the phase space method is numerically expensive as it requires averaging over thousands of trajectories. Besides, numerically unstable trajectories appear with positive-P representation at higher values of nonlinearity.

Heisenberg picture

Density matrix

Matrix (chemical analysis)

10.1139/cjp-2020-0389

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Squeezed Light Generation in Three-Channel Nonlinear Coupler with Second-Harmonic Generation and Frequency Mismatch

Journal of Physics Conference Series (2022)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim Rafael Julius P. K. Choudhury

Abstract Squeezed states of light in a three-channel nonlinear coupler with second-order nonlinearity using the phase space method and the analytical perturbative method is reported in this paper. The system is studied under the frequency mismatch condition, where the frequencies of the pump mode are not common. The effect of frequency mismatch on the generated squeezed states is investigated. We have found that the frequency mismatch does significantly affect the behavior of the generated squeezed states only at higher values of linear coupling between the waveguides. By increasing the frequency mismatch, the squeezing pattern also evolves from a collapses-revivals-like squeezing into a constant oscillation.

Oscillation (cell signaling)

Harmonic

Mode (computer interface)

10.1088/1742-6596/2411/1/012021

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On the perturbative approach to analyse entanglement in two-channel Kerr nonlinear coupler

Optik (2021)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim P. K. Choudhury

Coupling constant

10.1016/j.ijleo.2021.167420

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Citations (10)

Nonclassical Light in a Three-Waveguide Coupler with Second-Order Nonlinearity

arXiv (Cornell University) (2024)

Mohd Syafiq M. Hanapi Abdel-Baset M.A. Ibrahim Rafael Julius P. K. Choudhury Hichem Eleuch

Possible squeezed states generated in a three-waveguide nonlinear coupler operating with second harmonic generation is discussed. This study is carried out using two well-known techniques; the phase space method (based on positive P-representation) and the Heisenberg-based analytical perturbative method. The effect of the key design parameters is analyzed for both codirectional and contra-directional propagation. The optimal degree of feasible squeezing is identified. Also, the performance and capacities of both methods are critically evaluated. For low levels of key design parameters and in the early stages of evolution, a high level of agreement between the two methods is noticed. In the new era of quantum-based technology, the proposed system opens a new avenue for utilising nonlinear couplers in nonclassical light generation.

Waveguide

10.48550/arxiv.2406.17407

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Quantum Entanglement in Nonlinear Coupler with Raman Process

Journal of Advanced Research in Applied Sciences and Engineering Technology (2024)

Abdel-Baset M.A. Ibrahim Mohd Syafiq M. Hanapi Ahmad Musleh Alrub P. K. Choudhury

This paper examines the possible quantum entanglement generated in a coupler system consisting of two waveguides, where one waveguide is nonlinear and Raman-active, while the other waveguide only undergoes linear processes. The analytical-perturbative method is employed to investigate the production of entangled states in the given system. The Hillery-Zubairy criterion is employed to examine the possible quantum entanglement between the two fundamental pump modes propagating in both waveguides. We explore the generation of quantum entanglement under different initial conditions and critical design parameters. The simulation results suggest a continuous entanglement that remains until a particular distance of interaction is reached. As the linear coupling parameter increases, the relationship between the maximum reachable distance for entanglement and the degree of entanglement becomes more complex. The study reveals that entanglement experiences significant fluctuations when there is a substantial frequency mismatch between the modes.

10.37934/araset.57.1.3343

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