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Multiphoton Processes of Two Modes of Quantized Field Interaction with Interacting Asymmetric Two Two-Level Atoms

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Abstract

The interaction between two modes quantized field and asymmetric two atoms represents one of the important quantum models to study the nonclassical quantized phenomena. The two modes multiphoton processes and interacting asymmetric two two-level atoms are introduced in the proposed quantum system. The time dependent solution of the proposed quantum system is computed analytically for asymmetric and symmetric cases. This analytical solution depends on the eigenvalues and the eigenvectors of the coefficient matrix of the Schrödinger equation. The nonclassical features of the proposed quantum system are evaluated as the entanglement and the atomic populations. The entanglement between atom and field is measured via the von Neumann entropy while the entanglement between two atoms is measured by the concurrence. These quantized features are analyzed for variety of the detuning parameter, the atom-atom coupling constant, and the numbers of two photon modes. The most important observations are that: If the numbers of two photon modes are identical, the von Neumann entropy is strong most of the time, the periodic time of the entropy and atomic populations is double comparing with other cases, and the concurrence is non-existent for asymmetric case. In the presence the detuning parameter and the atom-atom coupling constant, the von Neumann entropy increases with time while the amplitude of the concurrence decreases with time for symmetric case. The fluctuations of the von Neumann entropy for symmetric case are stable and uniform more than its for asymmetric case. The concurrence is irregular for asymmetric case. Furthermore, there are other quantized effects of the proposed model which are discussed for symmetric and asymmetric cases.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, Saudi Arabia

    Abdallah A. Nahla

  2. Department of Mathematics, Faculty of Science, Tanta University, Tanta, 31527, Egypt

    Abdallah A. Nahla

  3. Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, 11884, Egypt

    M. M. A. Ahmed

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Nahla, A.A., Ahmed, M.M.A. Multiphoton Processes of Two Modes of Quantized Field Interaction with Interacting Asymmetric Two Two-Level Atoms. Int J Theor Phys 60, 3666–3688 (2021). https://doi.org/10.1007/s10773-021-04856-3

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