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Some features of the nonlocal correlation and geometric phase of the quantum system in two-mode nondegenerate entangled states

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Abstract

We propose a quantum two-level system interacting with a two-mode nondegenerate entangled states (TMNESs). The dynamical properties of entropy squeezing component is investigated based on atomic density matrix in the absence and presence of classical field effect. Moreover, the dynamical properties of the nonlocal correlation between the atom and TMNESs are studied and compared with geometric phase. We examine the influence of the initial interaction conditions and classical field on the evolution of nonlocal correlation, linear entropy and geometric phase. Furthermore, we discuss the link between the geometric phase, field purity and nonlocal correlation during the time dynamics. Finally, the results clarified that a geometric phase and entanglement are strongly affected by the classical field and detuning parameter.

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Acknowledgement

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under Grant No. G: 160-363-1439. The authors, therefore, acknowledge with thanks DSR for technical and financial support.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    Sadah A. Alkhateeb

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

    Sadah A. Alkhateeb

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

    S. Abdel-Khalek

  4. Mathematics Department, Faculty of Science, Sohag University, Sohâg, Egypt

    S. Abdel-Khalek

Authors
  1. Sadah A. Alkhateeb
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  2. S. Abdel-Khalek
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Correspondence to S. Abdel-Khalek.

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Alkhateeb, S.A., Abdel-Khalek, S. Some features of the nonlocal correlation and geometric phase of the quantum system in two-mode nondegenerate entangled states. J Math Chem 58, 939–949 (2020). https://doi.org/10.1007/s10910-019-01057-6

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  • DOI: https://doi.org/10.1007/s10910-019-01057-6

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