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Entanglement and Entropy Squeezing for Moving Two Two-Level Atoms Interaction with a Radiation Field

S. Abdel-Khalek1,2,*, E. M. Khalil1,3, Beida Alsubei1, A. Al-Barakaty4, S. M. Abo Dahab5

1 Department of Mathematics, Collage of Science, Taif University, Taif, 21944, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt
3 Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
4 Department of Physics, The University College at Aljamoum, Umm Al-Qura University, Makkah, Saudi Arabia
5 Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

* Corresponding Authors: S. Abdel-Khalek. Email: email, email

Computers, Materials & Continua 2021, 66(3), 2445-2456. https://doi.org/10.32604/cmc.2021.013830

Abstract

In this paper, we analyzed squeezing in the information entropy, quantum state fidelity, and qubit-qubit entanglement in a time-dependent system. The proposed model consists of two qubits that interact with a two-mode electromagnetic field under the dissipation effect. An analytical solution is calculated by considering the constants for the equations of motion. The effect of the general form of the time-dependent for qubit-field coupling and the dissipation term on the temporal behavior of the qubit-qubit entanglement, quantum state fidelity, entropy, and variance squeezing are examined. It is shown that the intervals of entanglement caused more squeezing for the case of considering the time-dependent parameters. Additionally, the entanglement between the qubits became more substantial for the case of time dependence. Fidelity and negativity rapidly reached the minimum values by increasing the effect of the dissipation parameter. Moreover, the amount of variance squeezing and the amplitude of the oscillations decreased considerably when the time dependence increased, but the fluctuations increased substantially. We show the relation between entropy and variance squeezing in the presence and absence of the dissipation parameter during the interaction period. This result enables new parameters to control the degree of entanglement and squeezing, especially in quantum communication.

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APA Style
Abdel-Khalek, S., Khalil, E.M., Alsubei, B., Al-Barakaty, A., Dahab, S.M.A. (2021). Entanglement and entropy squeezing for moving two two-level atoms interaction with a radiation field. Computers, Materials & Continua, 66(3), 2445-2456. https://doi.org/10.32604/cmc.2021.013830
Vancouver Style
Abdel-Khalek S, Khalil EM, Alsubei B, Al-Barakaty A, Dahab SMA. Entanglement and entropy squeezing for moving two two-level atoms interaction with a radiation field. Comput Mater Contin. 2021;66(3):2445-2456 https://doi.org/10.32604/cmc.2021.013830
IEEE Style
S. Abdel-Khalek, E.M. Khalil, B. Alsubei, A. Al-Barakaty, and S.M.A. Dahab "Entanglement and Entropy Squeezing for Moving Two Two-Level Atoms Interaction with a Radiation Field," Comput. Mater. Contin., vol. 66, no. 3, pp. 2445-2456. 2021. https://doi.org/10.32604/cmc.2021.013830



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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