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  4. Quantum antibunching in nonlinear couplers: a phase space approach using the positive P-representation

Quantum antibunching in nonlinear couplers: a phase space approach using the positive P-representation

MMC.
2025;
Volume 12, Number 2
: pp. 540–548
https://doi.org/10.23939/mmc2025.02.540
Received: January 07, 2025
Revised: June 01, 2025
Accepted: June 02, 2025

Hanapi M. S. M., Ibrahim A.-B. M. A., Julius R., Choudhury P. K.  Quantum antibunching in nonlinear couplers: a phase space approach using the positive P-representation.  Mathematical Modeling and Computing. Vol. 12, No. 2, pp. 540–548 (2025)  

Authors:
  1. M. S. M. Hanapi
  2. A.-B. M. A. Ibrahim
  3. R. Julius
  4. P. K. Choudhury
1
Faculty of Applied Sciences, University Teknologi MARA (UiTM)
2
Faculty of Applied Sciences, University Teknologi MARA (UiTM)
3
Faculty of Applied Sciences, University Teknologi MARA (UiTM) Perak
4
International Research Center for Advanced Photonics, Zhejiang University

Quantum antibunching, vital for single-photon sources, enables applications in quantum technology, such as secure communication and quantum computing.  This study investigates photon antibunching generation in a Nonlinear coupler (NLC) comprising two coupled waveguides: one linear and one with the second-order nonlinearity.  Each waveguide is excited by a coherent laser source, with the second harmonic generation enhancing antibunching.  Using the Schrödinger picture, the system's Hamiltonian is transformed into a master equation via the Liouville–von Neumann equation.  The master equation is further translated into a Fokker–Planck equation using the positive-P representation and subsequently mapped to stochastic differential equations via Ito rules for numerical analysis.  The effects of input parameters on antibunching behavior are examined, showcasing the potential of simple systems like NLCs for precise single-photon manipulation, advancing quantum technology.

quantum optics
nonlinear coupler
positive P-representation
photon antibunching
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