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Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties

Author

Listed:
  • Mariam Algarni

    (Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Kamal Berrada

    (Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 5701, Riyadh 11432, Saudi Arabia
    The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy)

  • Sayed Abdel-Khalek

    (Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
    Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Hichem Eleuch

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

Abstract

In this paper, we introduce the parity extension of the harmonic oscillator systems to develop the generalized Tavis-Cummings model (T-CM) based on a specific deformation of the Heisenberg algebra. We present a quantum scheme of a two-qubit system (TQS) interacting with a quantized field that is initially prepared in parity deformed coherent states (PDCSs). The dynamical features of the considered system are explored in the presence of parity deformed parameter (PDP) and time-dependent coupling (t-dc). In particular, we examine the amount of the entanglement formed in the qubit–field and qubit–qubit states. We find that the maximal amount of the entanglement may be occurred periodically during the time evolution. Finally, we investigate the influence of PDP on the Fisher information and the photon statistics of the deformed field with respect to the main parameters of the system.

Suggested Citation

  • Mariam Algarni & Kamal Berrada & Sayed Abdel-Khalek & Hichem Eleuch, 2022. "Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties," Mathematics, MDPI, vol. 10(17), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3051-:d:896471
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    References listed on IDEAS

    as
    1. Abdel-Khalek, S. & Berrada, K. & Aldaghfag, Shatha A., 2021. "Quantum correlations and non-classical properties for two superconducting qubits interacting with a quantized field in the context of deformed Heisenberg algebra," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Sebawe Abdalla, M., 1991. "Statistical properties of a transformed Tavis-Cummings model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(1), pages 131-144.
    3. Achim Peters & Keng Yeow Chung & Steven Chu, 1999. "Measurement of gravitational acceleration by dropping atoms," Nature, Nature, vol. 400(6747), pages 849-852, August.
    Full references (including those not matched with items on IDEAS)

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