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Quasi-Probability Husimi-Distribution Information and Squeezing in a Qubit System Interacting with a Two-Mode Parametric Amplifier Cavity

Author

Listed:
  • Eied. M. Khalil

    (Department of Mathematics, College of Science, P.O. Box11099, Taif University, Taif 21944, Saudi Arabia
    Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt)

  • Abdel-Baset. A. Mohamed

    (Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi Arabia
    Faculty of Science, Assiut University, Assiut 71515, Egypt)

  • Abdel-Shafy F. Obada

    (Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt)

  • Hichem Eleuch

    (Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, UAE
    Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi 59911, UAE
    Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA)

Abstract

Squeezing and phase space coherence are investigated for a bimodal cavity accommodating a two-level atom. The two modes of the cavity are initially in the Barut–Girardello coherent states. This system is studied with the SU(1,1)-algebraic model. Quantum effects are analyzed with the Husimi function under the effect of the intrinsic decoherence. Squeezing, quantum mixedness, and the phase information, which are affected by the system parameters, exalt a richer structure dynamic in the presence of the intrinsic decoherence.

Suggested Citation

  • Eied. M. Khalil & Abdel-Baset. A. Mohamed & Abdel-Shafy F. Obada & Hichem Eleuch, 2020. "Quasi-Probability Husimi-Distribution Information and Squeezing in a Qubit System Interacting with a Two-Mode Parametric Amplifier Cavity," Mathematics, MDPI, vol. 8(10), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1830-:d:430949
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    References listed on IDEAS

    as
    1. A. P. Pljonkin, 2019. "Vulnerability of the Synchronization Process in the Quantum Key Distribution System," International Journal of Cloud Applications and Computing (IJCAC), IGI Global, vol. 9(1), pages 50-58, January.
    2. Charles H. Bennett & David P. DiVincenzo, 2000. "Quantum information and computation," Nature, Nature, vol. 404(6775), pages 247-255, March.
    3. Obada, A.S.-F. & Sebawe Abdalla, M. & Khalil, E.M., 2004. "Statistical properties of two-mode parametric amplifier interacting with a single atom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 433-453.
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