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Entanglement and Pancharatnam Phase of a Four-Level Atom in Coherent States Within Generalized Heisenberg Algebra

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Journal of Russian Laser Research Aims and scope

Abstract

We consider a four-level atom (FLA) interacting with a field mode that is initially in a coherent state associated with a generalized Heisenberg algebra (CSGHA). The dynamical behavior of quantum entropy, the Pancharatnam phase, and the Mandel parameter are investigated. The statistical and nonclassical properties of the field in regard to its CSGHA are discussed through the evolution of the Mandel parameter, and the effects of the initial atomic state position and time-dependent coupling given in terms of atomic speed and acceleration are examined. The results show that the CSGHA strength and time-dependent coupling based on the atomic speed and acceleration have the potential to affect the time evolution of the entanglement, the Pancharatnam phase, and the Mandel parameter.

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Authors and Affiliations

  1. Physics Department, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia

    Haifa S. Alqannas

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

    S. Abdel-Khalek

  3. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-, Trieste, Italy

    S. Abdel-Khalek

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  1. Haifa S. Alqannas
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  2. S. Abdel-Khalek
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Correspondence to S. Abdel-Khalek.

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Alqannas, H.S., Abdel-Khalek, S. Entanglement and Pancharatnam Phase of a Four-Level Atom in Coherent States Within Generalized Heisenberg Algebra. J Russ Laser Res 38, 134–140 (2017). https://doi.org/10.1007/s10946-017-9627-7

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  • DOI: https://doi.org/10.1007/s10946-017-9627-7

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