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Open AccessArticle

Wigner Function Non-Classicality Induced in a Charge Qubit Interacting with a Dissipative Field Cavity

1
Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt
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Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
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Department of Statistics and Information, College of Commerce and Economics, Sana’a University, Sana’a 15542, Yemen
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Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates
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Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates
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Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA
*
Author to whom correspondence should be addressed.
Academic Editors: Pedro D. Sacramento, Nikola Paunkovic and Jan Awrejcewicz
Symmetry 2021, 13(5), 802; https://doi.org/10.3390/sym13050802 (registering DOI)
Received: 20 March 2021 / Revised: 19 April 2021 / Accepted: 29 April 2021 / Published: 4 May 2021
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
We explore a superconducting charge qubit interacting with a dissipative microwave cavity field. Wigner distribution and its non-classicality are investigated analytically under the effects of the qubit–cavity interaction, the qubit–cavity detuning, and the dissipation. As the microwave cavity field is initially in an even coherent state, we investigate the non-classicality of the Wigner distributions. Partially and maximally frozen entanglement are produced by the qubit–cavity interaction, depending on detuning and cavity dissipation. It is found that the amplitudes and frequency of the Wigner distribution can be controlled by the phase space parameters, the qubit–cavity interaction and the detuning, as well as by the dissipation. The cavity dissipation reduces the non-classicality; this process can be accelerated by the detuning. View Full-Text
Keywords: charge–qubit system; quasi-probability wigner function; entanglement charge–qubit system; quasi-probability wigner function; entanglement
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MDPI and ACS Style

Mohamed, A.-B.A.; Khalil, E.M.; AL-Rezami, A.Y.; Eleuch, H. Wigner Function Non-Classicality Induced in a Charge Qubit Interacting with a Dissipative Field Cavity. Symmetry 2021, 13, 802. https://doi.org/10.3390/sym13050802

AMA Style

Mohamed A-BA, Khalil EM, AL-Rezami AY, Eleuch H. Wigner Function Non-Classicality Induced in a Charge Qubit Interacting with a Dissipative Field Cavity. Symmetry. 2021; 13(5):802. https://doi.org/10.3390/sym13050802

Chicago/Turabian Style

Mohamed, Abdel-Baset A.; Khalil, Eied M.; AL-Rezami, Afrah Y.; Eleuch, Hichem. 2021. "Wigner Function Non-Classicality Induced in a Charge Qubit Interacting with a Dissipative Field Cavity" Symmetry 13, no. 5: 802. https://doi.org/10.3390/sym13050802

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