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Results in Physics

Entanglement and coherence in a system of two atoms in the presence of Kerr medium and field dissipation

K. Berrada, S. Abdel‐Khalek, A. Alkaoud, Hichem Eleuch

Published Dec 9, 2022• 5 citations
Publisher

Abstract

In the present manuscript, we investigate qualitatively the quantum entanglement and coherence in two atoms coupled to a quantized field in the existence of Kerr medium and Ising interaction. We explore the effects of the atom–atom (A–A) interaction and field nonlinearity on the dynamics of quantumness measures by examining the A–A concurrence, von Neumann entropy, l1 norm coherence and Mandel’s parameter. We also illustrate the relations between the information quantifiers in the presence and absence of field dissipation.

DOI
10.1016/j.rinp.2022.106172

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We present an analytical solution for a quantum system characterized by a double Λ\LambdaΛ five-level atom interacting with an intensity-dependent coupling regime, influenced by a nonlinear Kerr-like medium. We also derive the constants of motion through Heisenberg’s equations. Furthermore, the dynamical evolution of the entanglement and quantum coherence between the atom and the field is discussed using linear entropy and l1l_{1}l1​ -norm of coherence. Through a comprehensive examination of the quantum system, it is observed that both the detuning and the Kerr-like parameters exert a significant impact on the degree of entanglement and coherence. However, the impacts of detuning and the Kerr effect become less pronounced when the photon multiplicity is high. In addition, we conduct a comparison between the five-level atomic system and a four-level system, revealing that the number of energy levels has a profound impact on the behavior of entanglement and coherence. These findings highlight the importance of atomic structure and photon multiplicity in controlling and optimizing quantum processes, particularly in applications involving quantum communication and information processing.