Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping
In this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian. It is observed that...
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MDPI AG
2020-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/11/3782 |
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| author | Abdel-Baset A. Mohamed Ahmed Farouk Mansour F. Yassen Hichem Eleuch |
| author_facet | Abdel-Baset A. Mohamed Ahmed Farouk Mansour F. Yassen Hichem Eleuch |
| author_sort | Abdel-Baset A. Mohamed |
| collection | DOAJ |
| description | In this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian. It is observed that the generated NLCs are controlled by the Dzyaloshinskii–Moriya interaction, the purity indicator, the interaction with the environment, and the anisotropy. Furthermore, it is found that the quantum correlations, as well as the sudden death and sudden birth phenomena, depend on the considered physical parameters. In particular, the system presents a special correlation: the skew-information correlation. The log-negativity and the uncertainty-induced non-locality exhibit the sudden-change behavior. The purity of the initial states plays a crucial role on the generated nonlocal correlations. These correlations are sensitive to the DM interaction, anisotropy, and phase damping. |
| first_indexed | 2024-03-10T19:30:47Z |
| format | Article |
| id | doaj.art-8e2144c91db842ddb81e40ad2a5b642f |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T19:30:47Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-8e2144c91db842ddb81e40ad2a5b642f2023-11-20T02:10:42ZengMDPI AGApplied Sciences2076-34172020-05-011011378210.3390/app10113782Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase DampingAbdel-Baset A. Mohamed0Ahmed Farouk1Mansour F. Yassen2Hichem Eleuch3Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi ArabiaDepartment of Physics and Computer Science, Faculty of Science, Wilfrid Laurier University, Waterloo, ON N2L 3C5, CanadaDepartment of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi ArabiaInstitute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USAIn this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian. It is observed that the generated NLCs are controlled by the Dzyaloshinskii–Moriya interaction, the purity indicator, the interaction with the environment, and the anisotropy. Furthermore, it is found that the quantum correlations, as well as the sudden death and sudden birth phenomena, depend on the considered physical parameters. In particular, the system presents a special correlation: the skew-information correlation. The log-negativity and the uncertainty-induced non-locality exhibit the sudden-change behavior. The purity of the initial states plays a crucial role on the generated nonlocal correlations. These correlations are sensitive to the DM interaction, anisotropy, and phase damping.https://www.mdpi.com/2076-3417/10/11/3782two-qubitHeisenberg spin chainphase dampingskew-information correlation |
| spellingShingle | Abdel-Baset A. Mohamed Ahmed Farouk Mansour F. Yassen Hichem Eleuch Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping Applied Sciences two-qubit Heisenberg spin chain phase damping skew-information correlation |
| title | Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping |
| title_full | Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping |
| title_fullStr | Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping |
| title_full_unstemmed | Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping |
| title_short | Quantum Correlation via Skew Information and Bell Function Beyond Entanglement in a Two-Qubit Heisenberg XYZ Model: Effect of the Phase Damping |
| title_sort | quantum correlation via skew information and bell function beyond entanglement in a two qubit heisenberg xyz model effect of the phase damping |
| topic | two-qubit Heisenberg spin chain phase damping skew-information correlation |
| url | https://www.mdpi.com/2076-3417/10/11/3782 |
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