Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect

This study investigates the quantum features of quantum entanglement (QE) in N-level atomic systems interacting with the thermal state subjected to varying Stark shift (SS) parameters. The N-level atomic system does not move in the presence of the SS interacting with the electromagnetic field. It is...

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Main Authors: S. Jamal Anwar, M. Ibrahim, M. Khalid Khan, Haifa S. Alqannas, S. Abdel-Khalek
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0223882
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author S. Jamal Anwar
M. Ibrahim
M. Khalid Khan
Haifa S. Alqannas
S. Abdel-Khalek
author_facet S. Jamal Anwar
M. Ibrahim
M. Khalid Khan
Haifa S. Alqannas
S. Abdel-Khalek
author_sort S. Jamal Anwar
collection DOAJ
description This study investigates the quantum features of quantum entanglement (QE) in N-level atomic systems interacting with the thermal state subjected to varying Stark shift (SS) parameters. The N-level atomic system does not move in the presence of the SS interacting with the electromagnetic field. It is observed that a larger value of the SS parameter influences the quantum Fisher information (QFI) of 5-level atomic systems and increases the value of QFI of the 5-level atoms compared to 3- and 4-level atomic systems. The von Neumann entropy (VNE) also increases for the 5-level atoms at different values of the SS parameter. Hence, it is concluded that the SS enhances the VNE of a higher dimensional atomic system such as the 5-level atom. The QE of a higher dimensional atomic system such as the 5-level atom increases with the evolution of time at larger values of the SS parameter, and it also sustains as time progresses. The effect of the SS is more prominent on the 5-level atomic system. When an atom is in motion, in the presence of the SS interacting with the thermal state, the sudden death and birth of QE are observed. The SS environment is favorable for maintaining sudden death and birth of QE, so we can say in the case of a moving N-level atom interacting with the electromagnetic field, the SS supports the QE to maintain and sustain. Hence, non-moving and moving-N-level atomic systems interacting with the electromagnetic field in the presence of the SS are supportive of maintaining and sustaining the QE.
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spelling doaj-art-1e6cd8bc317d45e7827e8fe3d14d69f12025-02-03T16:40:43ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015305015305-1010.1063/5.0223882Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effectS. Jamal Anwar0M. Ibrahim1M. Khalid Khan2Haifa S. Alqannas3S. Abdel-Khalek4Department of Physics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Physics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Physics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThis study investigates the quantum features of quantum entanglement (QE) in N-level atomic systems interacting with the thermal state subjected to varying Stark shift (SS) parameters. The N-level atomic system does not move in the presence of the SS interacting with the electromagnetic field. It is observed that a larger value of the SS parameter influences the quantum Fisher information (QFI) of 5-level atomic systems and increases the value of QFI of the 5-level atoms compared to 3- and 4-level atomic systems. The von Neumann entropy (VNE) also increases for the 5-level atoms at different values of the SS parameter. Hence, it is concluded that the SS enhances the VNE of a higher dimensional atomic system such as the 5-level atom. The QE of a higher dimensional atomic system such as the 5-level atom increases with the evolution of time at larger values of the SS parameter, and it also sustains as time progresses. The effect of the SS is more prominent on the 5-level atomic system. When an atom is in motion, in the presence of the SS interacting with the thermal state, the sudden death and birth of QE are observed. The SS environment is favorable for maintaining sudden death and birth of QE, so we can say in the case of a moving N-level atom interacting with the electromagnetic field, the SS supports the QE to maintain and sustain. Hence, non-moving and moving-N-level atomic systems interacting with the electromagnetic field in the presence of the SS are supportive of maintaining and sustaining the QE.http://dx.doi.org/10.1063/5.0223882
spellingShingle S. Jamal Anwar
M. Ibrahim
M. Khalid Khan
Haifa S. Alqannas
S. Abdel-Khalek
Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect
AIP Advances
title Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect
title_full Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect
title_fullStr Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect
title_full_unstemmed Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect
title_short Quantum Fisher information of N-level atoms under the influence of the thermal field and the Stark effect
title_sort quantum fisher information of n level atoms under the influence of the thermal field and the stark effect
url http://dx.doi.org/10.1063/5.0223882
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