Dynamics of quantum effects in a three-level system interacting with two-mode time-dependent fields including parametric down conversion and damping

M. Kh. Ismaila Department of Physics, National Chung Hsing University, Taichung, Taiwan;b Math. Dept, Faculty of Science, Al-Azhar University, Assiut, Egypt

A. H. Ahmedb Math. Dept, Faculty of Science, Al-Azhar University, Assiut, Egypt

T. M. El-Shahatb Math. Dept, Faculty of Science, Al-Azhar University, Assiut, Egypt

https://orcid.org/0000-0002-7149-0495

A.-B. A. Mohamedc Math. Dept, Faculty of Science, Assiut University, Assiut, Egypt

N. Metwallyd Math. Dept, Faculty of Science, Aswan University, Aswan, Egypt;e Department of Mathematics, College of Science, University of Bahrain, El-sakihur, BahrainCorrespondence[email protected]

A.-S. F. Obadaf Math. Dept, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

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