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journal article·2017-01-01Open access

Linear entropy and squeezing of the interaction between two quantum system described by su (1, 1) and su(2) Lie group in presence of two external terms

M. Sebawe Abdalla, E. M. Khalil, A. S.-F. Obada, J. Peřina, J. Křepelka

AIP Advances· Volume 7· Issue 1
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Source abstract

Abstract

A Hamiltonian, that describes the interaction between a two-level atom (su(2) algebra) and a system governed by su(1,1) Lie algebra besides two external interaction, is considered. Two canonical transformations are used, which results into removing the external terms and changing the frequencies of the interacting systems. The solution of the equations of motion of the operators is obtained and used to discuss the atomic inversion, entanglement, squeezing and correlation functions of the present system. Initially the atom is considered to be in the excited state while the other systems is in the Perelomov coherent state. Effects of the variations in the coupling parameters to the external systems are considered. They are found to be sensitive to changing entanglement, variance and entropy squeezing.
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Research context

OpenAlex topics: Quantum Information and Cryptography · Quantum Mechanics and Applications · Quantum Mechanics and Non-Hermitian Physics

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Affiliations

King Saud University 1 Mathematics Department, College of Science, , P.O. Box 2455, Riyadh 11451, Saudi Arabia

Al-Azher University 2 Mathematics Department, Faculty of Science, , Nassr City, Cairo 11884, Egypt

Taif University 3 Mathematics Department, Faculty of Science, , P.O. Box 888 Taif 21974, Saudi Arabia

Palacký University 4 Department of Optics and Joint Laboratory of Optics of Palacký University and Institute of Physics of AS CR, Faculty of Science, , 17. listopadu 12, 771 46 Olomouc, Czech Republic

Joint Laboratory of Optics of Palacký University and Institute of Physics of Physics of Academy of Sciences of the Czech Republic 5 , 17. listopadu 50a, 771 46 Olomouc, Czech Republic

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