Open Access

ARTICLE

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

S. Abdel-Khalek^1,2,*, E. M. Khalil^1,3, 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: ,

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

Received 22 August 2021; Accepted 28 September 2020; Issue published 28 December 2020

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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