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Mathematical Methods in the Applied Sciences

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

S. Abdel‐Khalek, Sayed Mohamed Abo-Dahab, Mahmoud Ragab, Muhyaddin Jamal Hosin Rawa, Hijaz Ahmad

Published Sep 9, 2020• 6 citations
Publisher

Abstract

Quantum Fisher information (QFI) and geometric phase have recently performed different tasks in quantum information technology. We investigate the statistical quantities as the QFI and entanglement of a three‐level atom in Λ configuration interacting with a quantized field mode by using linear entropy. We study the dynamical behavior of the geometric phase based on the engineering of a three‐level atomic configuration. We analyze the effect of energy dissipation of the dynamical properties of the geometric phase and the QFI as an entanglement quantifier between the three‐level atom and field. We explore the correlation between the engineering geometric phase and QFI in the absence and presence of energy dissipation effect. We have found that the QFI is very sensitive to the effect of the time‐dependent coupling and energy dissipation.

DOI
10.1002/mma.6781

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In the framework of time-varying coupling and power-law potentials, we investigate quantum entanglement and quantum Fisher information in a system that consists of a three-level atom interacting with a quantized field. The results illustrate that the quantum entanglement and quantum Fisher information's temporal evolution depend critically on the physical properties of the field and its coupling to the atom. It is noteworthy to notice that the quantifiers are sensitive to the exponent parameter of the potential with and without time-varying coupling. Considerable nonlocal correlation with the accuracy of parameter estimation can be achieved through the proper control of physical parameters.
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