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Exploring quasi-probability Husimi-distributions in nonlinear two trapped-ion qubits: intrinsic decoherence effects

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Abstract

The Husimi phase-space distribution is an efficient tool for studying quantum coherent states as it provides information on quantum-state features. The paper investigates the non-classicality and mixedness dynamics of two dipole trapped qubits beyond Lamb-Dicke regime. We analyze the Husimi distribution non-classicality and Wehrl entropy mixedness, which are substantially impacted by several physical characteristics that involve unitary ion-mode interaction, Lamb-Dicke nonlinearity, dipole two-qubit interaction, and intrinsic decoherence. Our results show that when these physical parameters grow, the phase-space information of the trapped-ion-qubit state becomes more sensitive, resulting in more von-Neumann/Wehrl entropy mixedness. The unitary ion-mode interaction, in particular, intensifies the von-Neumann/Wehrl entropy qubit’s mixedness, and the Husimi distribution coincides with the von-Neumann entropy qubit’s mixedness. Furthermore, the dipole interaction of the qubits considerably impacts and delays the emergence of the maximal von-Neumann/Wehrl entropy qubit’s mixedness.

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Acknowledgements

This work was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University, through the Research Groups Program Grant no. (RGP-1444-0053).

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Authors and Affiliations

  1. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O.Box 84428, Riyadh, 11671, Saudi Arabia

    Laila A. Al-Essa

  2. Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia

    A. Y. AL-Rezami & A. -B. A. Mohamed

  3. Department of Physics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia

    F. M. Aldosari

  4. Department of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates

    H. Eleuch

  5. College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, 59911, United Arab Emirates

    H. Eleuch

  6. Institute for Quantum Science and Engineering, Texas A &M University, College Station, TX, 77843, USA

    H. Eleuch

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ABAM, LAAE, AYAR prepared all the figures and performed the mathematical calculations. LAAE, FMA wrote the original draft. ABAM and HE reviewed and edited the draft. All authors have read and agreed to the published version of the manuscript.

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Al-Essa, L.A., AL-Rezami, A.Y., Aldosari, F.M. et al. Exploring quasi-probability Husimi-distributions in nonlinear two trapped-ion qubits: intrinsic decoherence effects. Opt Quant Electron 56, 604 (2024). https://doi.org/10.1007/s11082-024-06284-z

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