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Open AccessArticle

Quasi-Probability Husimi-Distribution Information and Squeezing in a Qubit System Interacting with a Two-Mode Parametric Amplifier Cavity

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Department of Mathematics, College of Science, P.O. Box11099, Taif University, Taif 21944, Saudi Arabia
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Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
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Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi Arabia
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Faculty of Science, Assiut University, Assiut 71515, Egypt
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Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, UAE
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Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi 59911, UAE
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Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1830; https://doi.org/10.3390/math8101830
Received: 22 September 2020 / Revised: 7 October 2020 / Accepted: 12 October 2020 / Published: 19 October 2020
(This article belongs to the Special Issue Functional Analysis, Topology and Quantum Mechanics)
Squeezing and phase space coherence are investigated for a bimodal cavity accommodating a two-level atom. The two modes of the cavity are initially in the Barut–Girardello coherent states. This system is studied with the SU(1,1)-algebraic model. Quantum effects are analyzed with the Husimi function under the effect of the intrinsic decoherence. Squeezing, quantum mixedness, and the phase information, which are affected by the system parameters, exalt a richer structure dynamic in the presence of the intrinsic decoherence. View Full-Text
Keywords: decoherence; two modes; squeezing; Husimi distribution decoherence; two modes; squeezing; Husimi distribution
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MDPI and ACS Style

Khalil, E.M.; Mohamed, A.-B.A.; Obada, A.-S.F.; Eleuch, H. Quasi-Probability Husimi-Distribution Information and Squeezing in a Qubit System Interacting with a Two-Mode Parametric Amplifier Cavity. Mathematics 2020, 8, 1830.

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