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Entanglement dynamics of a dispersive system of two driven qubits localized in coherently two linked optical cavities: two dispersive spatial distant driven Jaynes–Cummings cells

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Abstract

The Hamiltonian for a system of two two-level atoms separately located in two cavities coupled through the overlap of the evanescent cavity fields in presence of an external classical fields is introduced. It is simplified by using unitary canonical transformations for both the atomic and photonic modes. The atomic population inversion and the degree of entanglement are considered. Different interactions are addressed within a temporal evolution of the system in correspondence with three dispersive regimes limits. Analytical expressions of the coefficients of the time dependent wavefunctions of the different Hamiltonians are derived. The influences of the photon hopping strength, detuning and the couplings of the external classical fields on the behavior of the atomic population inversion and the atomic entropies and degree of entanglement are investigated. The interrelation between the 1st-atom entanglement and the atomic population inversion is noted. General conclusions reached are illustrated through numerical results.

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Acknowledgements

Taif University Researches Supporting Project number (TURSP-2020/017). Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Department of Basic Science, Faculty of Engineering, Sinai University, Al-Arish, Egypt

    S. A. Hanoura

  2. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

    M. M. A. Ahmed, E. M. Khalil & A.-S. F. Obada

  3. Department of Mathematics, Faculty of Science, Taif University, Taif, Saudi Arabia

    E. M. Khalil

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This article is part of the Topical Collection on Optical and Quantum Sciences in Africa.

Guest edited by Salah Obayya, Alex Quandt, Andrew Forbes, Malik Maaza, Abdelmajid Belafhal and Mohamed Farhat.

The dynamics of the degree of entanglement (DEM) and the atomic population inversion functions and the excitations of the photonics and atomics modes, is analyzed. The time average effective Hamiltonians are formulated in the framework of the James’s theory. The effects of the system parameters are investigated in accordance with certain dispersive regimes. The rate of the energy transfer between the atomic subsystems is controlled by certain factor which is vary from one dispersive to another. The influences of both the external classical fields couplings and the averages of photons numbers on the DEM and the atomic population inversion functions are extensively addressed. The places of the occurrence of the collapses-revivals phenomenon in presence and absence of the external classical fields whether the averages of photons numbers are having low or large values, are stated.

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Hanoura, S.A., Ahmed, M.M.A., Khalil, E.M. et al. Entanglement dynamics of a dispersive system of two driven qubits localized in coherently two linked optical cavities: two dispersive spatial distant driven Jaynes–Cummings cells. Opt Quant Electron 54, 11 (2022). https://doi.org/10.1007/s11082-021-02964-2

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  • DOI: https://doi.org/10.1007/s11082-021-02964-2

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