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Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities

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Abstract

General formalisms of a four-level atom in different configurations interacting with a single mode quantized electromagnetic field under multi-photon process with additional forms of nonlinearities of both the field and the intensity-dependent atom-field coupling are investigated. Analytical expressions for the time unitary evolution operator and density operator are obtained. The atom is prepared in its upper most and the field is prepared in a binomial state. The effects of the mean photon number, photon multiplicity, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are considered. General conclusions reached are illustrated by numerical results.

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Acknowledgements

The authors wish to thank the referees for all their comments that helped to improve the paper in many aspects.

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Authors and Affiliations

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

    A. A. Eied & A.-S. F. Obada

  2. Department of Basic Science, Faculty of Engineering, Sinai University, El-Arish, Egypt

    S. A. Hanoura

  3. Department of Mathematics, Faculty of Science and Arts, Shaqra University, Shaqra, Kingdom of Saudi Arabia

    A. A. Eied

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  1. A. A. Eied
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  2. S. A. Hanoura
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  3. A.-S. F. Obada
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Correspondence to S. A. Hanoura.

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Eied, A.A., Hanoura, S.A. & Obada, AS.F. Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities. Int J Theor Phys 51, 2665–2680 (2012). https://doi.org/10.1007/s10773-012-1160-4

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  • DOI: https://doi.org/10.1007/s10773-012-1160-4

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