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Article

Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties

by
Mariam Algarni
1,
Kamal Berrada
2,3,*,
Sayed Abdel-Khalek
4,5 and
Hichem Eleuch
6,7,8
1
Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2
Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 5701, Riyadh 11432, Saudi Arabia
3
The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy
4
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
5
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
6
Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates
7
College of Arts and Sciences, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates
8
Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(17), 3051; https://doi.org/10.3390/math10173051
Submission received: 9 July 2022 / Revised: 9 August 2022 / Accepted: 14 August 2022 / Published: 24 August 2022
(This article belongs to the Special Issue Advances in Quantum Optics and Quantum Information)
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Abstract

In this paper, we introduce the parity extension of the harmonic oscillator systems to develop the generalized Tavis-Cummings model (T-CM) based on a specific deformation of the Heisenberg algebra. We present a quantum scheme of a two-qubit system (TQS) interacting with a quantized field that is initially prepared in parity deformed coherent states (PDCSs). The dynamical features of the considered system are explored in the presence of parity deformed parameter (PDP) and time-dependent coupling (t-dc). In particular, we examine the amount of the entanglement formed in the qubit–field and qubit–qubit states. We find that the maximal amount of the entanglement may be occurred periodically during the time evolution. Finally, we investigate the influence of PDP on the Fisher information and the photon statistics of the deformed field with respect to the main parameters of the system.
Keywords: two-qubit system; parity deformed coherent states; population; entanglement; fisher information; concurrence two-qubit system; parity deformed coherent states; population; entanglement; fisher information; concurrence

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MDPI and ACS Style

Algarni, M.; Berrada, K.; Abdel-Khalek, S.; Eleuch, H. Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties. Mathematics 2022, 10, 3051. https://doi.org/10.3390/math10173051

AMA Style

Algarni M, Berrada K, Abdel-Khalek S, Eleuch H. Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties. Mathematics. 2022; 10(17):3051. https://doi.org/10.3390/math10173051

Chicago/Turabian Style

Algarni, Mariam, Kamal Berrada, Sayed Abdel-Khalek, and Hichem Eleuch. 2022. "Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties" Mathematics 10, no. 17: 3051. https://doi.org/10.3390/math10173051

APA Style

Algarni, M., Berrada, K., Abdel-Khalek, S., & Eleuch, H. (2022). Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties. Mathematics, 10(17), 3051. https://doi.org/10.3390/math10173051

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