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Entanglement and Fisher information for two superconducting qubits interacting with a deformed field

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Abstract

We investigate the dynamical behavior of local quantum Fisher information, linear entropy, fidelity, and entanglement of formation for a quantum scheme of two superconducting charge qubits in the presence of a \(L\)-deformed field. The effects of time-dependent (t–d) coupling and dipole–dipole (d–d) interaction on the temporal behavior of these four information quantifiers in the presence and absence of \(L\)-deformation effects are considered. We show that their dynamical behavior can be controlled by the d–d interactions and t–d coupling, for linear and L-deformed fields. Moreover, we clarify the link between the four quantifiers during the dynamics. The results obtained emphasize that in the presence and absence of t–d coupling, the proposed quantumness is very sensitive to the nonlinearity of the field but in the presence of t–d coupling it is only sensitive to the d–d interaction. We also identify new views to use and understand the nature of this nonlinearity through the behavior of the quantum quantifiers in systems of two superconducting qubits. Our observations have potential implications for the application of this phenomenon in quantum optics and information processing.

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Acknowledgements

This Project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (G: 555-130-1441). The authors, therefore, acknowledge with thanks DSR for technical and financial support.

Funding

Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under Grant No. (G: 555-130-1441).

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Authors and Affiliations

  1. Physics Department, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Bahaaudin M. Raffah & Yas Al-Hadeethi

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

    K. Berrada

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

    K. Berrada

  4. Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944, Saudi Arabia

    S. Abdel-Khalek

  5. Department of Mathematics, Sohag University, Sohag, 82524, Egypt

    S. Abdel-Khalek

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  1. Bahaaudin M. Raffah
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  4. Yas Al-Hadeethi
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Contributions

B.M.R.: Visualization, supervision, project administration, reviewing and editing. K.B.: Conceptualization, methodology, writing—original draft, writing—reviewing and editing. S.A.-K.: Conceptualization, methodology, writing—original draft, writing—reviewing and editing. Y.F.A.: Validation, funding acquisition, investigation. All authors have read and agreed to the published version of the manuscript.

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Correspondence to S. Abdel-Khalek.

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This article is part of the Topical Collection on Recent Advances of Advanced Functional Materials for Optics, Lasers and Photovoltaics Applications

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Raffah, B.M., Berrada, K., Abdel-Khalek, S. et al. Entanglement and Fisher information for two superconducting qubits interacting with a deformed field. Opt Quant Electron 55, 150 (2023). https://doi.org/10.1007/s11082-022-04333-z

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