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Quantum correlations and quantum Fisher information of two qubits in the presence of the time-dependent coupling effect

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Abstract

In this paper, we consider two separate Jaynes–Cummings (JC) nodes with a nonidentical qubit-field system in the presence of dissipation terms. We reveal the influence of the time variation of the coupling terms on some important measures when the qubits are immersed in a vacuum. The density matrix for the two qubits initially in Bell states are obtained. The dynamical behavior of the quantum discord (QD), classical correlation (CC), qubit-qubit entanglement, and quantum Fisher information (QFI) is investigated. We explore the relationship among QD, CC, qubit-qubit entanglement, and QFI in the absence and presence of the dissipation effect during the time evolution. Furthermore, we show the main optimal conditions for obtaining a high level of correlation and coherence between the two qubits.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.]

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Acknowledgements

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. (KEP-Msc-9-130-40). The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, 21438, Saudi Arabia

    Bahaaudin Raffah, Yas Al-Hadeethi & Nawal Almalky

  2. Mathematics Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt

    S. Abdel-Khalek & E. Khalil

  3. Mathematics Department, Faculty of Science, Taif Univesity, 21974, Taif, Saudi Arabia

    S. Abdel-Khalek

  4. Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

    K. Berrada

  5. Kulliyyah of ICT, International Islamic University (IIUM), Kuala Lumpur, Malaysia

    M. R. B. Wahiddin

  6. Cybersecurity & Systems Unit, Islamic Science Institute, USIM, 71800 Nilai, Negeri Sembilan, Malaysia

    M. R. B. Wahiddin

Authors
  1. Bahaaudin Raffah
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  2. S. Abdel-Khalek
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  3. K. Berrada
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  4. E. Khalil
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  5. Yas Al-Hadeethi
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  6. Nawal Almalky
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  7. M. R. B. Wahiddin
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Corresponding author

Correspondence to S. Abdel-Khalek.

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Raffah, B., Abdel-Khalek, S., Berrada, K. et al. Quantum correlations and quantum Fisher information of two qubits in the presence of the time-dependent coupling effect. Eur. Phys. J. Plus 135, 467 (2020). https://doi.org/10.1140/epjp/s13360-020-00423-7

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00423-7

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