Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity

We have explored the non-locality of two qubits interacting time-dependently with a nondegenerate parametric amplifier cavity fields in the presence of the Stark shift interaction term. The time-dependent two-qubit reduced density matrix is calculated numerically when the cavity fields are initially...

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Main Authors: Abdel-Baset A. Mohamed, Afrah Y. AL-Rezami, Abdel-Haleem Abdel-Aty
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016821003057
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author Abdel-Baset A. Mohamed
Afrah Y. AL-Rezami
Abdel-Haleem Abdel-Aty
author_facet Abdel-Baset A. Mohamed
Afrah Y. AL-Rezami
Abdel-Haleem Abdel-Aty
author_sort Abdel-Baset A. Mohamed
collection DOAJ
description We have explored the non-locality of two qubits interacting time-dependently with a nondegenerate parametric amplifier cavity fields in the presence of the Stark shift interaction term. The time-dependent two-qubit reduced density matrix is calculated numerically when the cavity fields are initially in two entangled coherent states. We investigate the non-locality via local Fisher information and negativity. It is shown that, the generated non-locality depends on the time-dependent two-qubit location, the Stark shift interaction, the difference between the mean photon numbers of the two cavity fields as well as the initial intensity coherent fields. The agreement of the generated correlations presented by the local Fisher information and the negativity depends on the physical parameters. The Stark shift non-linearity and the difference between the mean photon numbers leads to reducing the generated correlations. The local Fisher information is more robust against the Stark shift interaction than the negativity.
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spelling doaj.art-9d5ab89a4f654fed8fb8a54f6d46e3d02022-12-21T18:12:56ZengElsevierAlexandria Engineering Journal1110-01682021-12-0160656495654Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearityAbdel-Baset A. Mohamed0Afrah Y. AL-Rezami1Abdel-Haleem Abdel-Aty2Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi Arabia; Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt; Corresponding author at: College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi Arabia.Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi ArabiaDepartment of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia; Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptWe have explored the non-locality of two qubits interacting time-dependently with a nondegenerate parametric amplifier cavity fields in the presence of the Stark shift interaction term. The time-dependent two-qubit reduced density matrix is calculated numerically when the cavity fields are initially in two entangled coherent states. We investigate the non-locality via local Fisher information and negativity. It is shown that, the generated non-locality depends on the time-dependent two-qubit location, the Stark shift interaction, the difference between the mean photon numbers of the two cavity fields as well as the initial intensity coherent fields. The agreement of the generated correlations presented by the local Fisher information and the negativity depends on the physical parameters. The Stark shift non-linearity and the difference between the mean photon numbers leads to reducing the generated correlations. The local Fisher information is more robust against the Stark shift interaction than the negativity.http://www.sciencedirect.com/science/article/pii/S1110016821003057Local quantum Fisher informationTime-dependent two-qubitStark shift
spellingShingle Abdel-Baset A. Mohamed
Afrah Y. AL-Rezami
Abdel-Haleem Abdel-Aty
Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity
Alexandria Engineering Journal
Local quantum Fisher information
Time-dependent two-qubit
Stark shift
title Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity
title_full Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity
title_fullStr Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity
title_full_unstemmed Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity
title_short Two-qubit non-locality interacting time-dependently with a parametric amplifier cavity with Stark-shift nonlinearity
title_sort two qubit non locality interacting time dependently with a parametric amplifier cavity with stark shift nonlinearity
topic Local quantum Fisher information
Time-dependent two-qubit
Stark shift
url http://www.sciencedirect.com/science/article/pii/S1110016821003057
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AT abdelhaleemabdelaty twoqubitnonlocalityinteractingtimedependentlywithaparametricamplifiercavitywithstarkshiftnonlinearity