Entanglement Control of Two-Level Atoms in Dissipative Cavities
An open quantum bipartite system consisting of two independent two-level atoms interacting nonlinearly with a two-mode electromagnetic cavity field is investigated by proposing a suitable non-Hermitian generalization of the Hamiltonian. The mathematical procedure of obtaining the corresponding wave...
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MDPI AG
2020-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/4/1510 |
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| author | Reyad Salah Ahmed M. Farouk Ahmed Farouk Mahmoud Abdel-Aty Hichem Eleuch Abdel-Shafy F. Obada |
| author_facet | Reyad Salah Ahmed M. Farouk Ahmed Farouk Mahmoud Abdel-Aty Hichem Eleuch Abdel-Shafy F. Obada |
| author_sort | Reyad Salah |
| collection | DOAJ |
| description | An open quantum bipartite system consisting of two independent two-level atoms interacting nonlinearly with a two-mode electromagnetic cavity field is investigated by proposing a suitable non-Hermitian generalization of the Hamiltonian. The mathematical procedure of obtaining the corresponding wave function of the system is clearly given. Pancharatnam phase is studied to give a precise information about the required initial system state, which is related to artificial phase jumps, to control the degree of entanglement (DEM) and get the highest concurrence. We discuss the effect of time-variation coupling, and dissipation of both atoms and cavity. The effect of the time-variation function appears as frequency modulation (FM) effect in the radio waves. Concurrence rapidly reaches the disentangled state (death of entanglement) by increasing the effect of field decay. On the contrary, the atomic decay has no effect. |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-04-13T04:19:23Z |
| publishDate | 2020-02-01 |
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| series | Applied Sciences |
| spelling | doaj.art-5c629fea2fad4dd480df6111f57a05dc2022-12-22T03:02:51ZengMDPI AGApplied Sciences2076-34172020-02-01104151010.3390/app10041510app10041510Entanglement Control of Two-Level Atoms in Dissipative CavitiesReyad Salah0Ahmed M. Farouk1Ahmed Farouk2Mahmoud Abdel-Aty3Hichem Eleuch4Abdel-Shafy F. Obada5Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, Helwan 11795, EgyptDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptDepartment of Physics and Computer Science, Wilfrid Laurier University, Waterloo, ON N2L 3C5, CanadaDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptDepartment of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, UAEDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptAn open quantum bipartite system consisting of two independent two-level atoms interacting nonlinearly with a two-mode electromagnetic cavity field is investigated by proposing a suitable non-Hermitian generalization of the Hamiltonian. The mathematical procedure of obtaining the corresponding wave function of the system is clearly given. Pancharatnam phase is studied to give a precise information about the required initial system state, which is related to artificial phase jumps, to control the degree of entanglement (DEM) and get the highest concurrence. We discuss the effect of time-variation coupling, and dissipation of both atoms and cavity. The effect of the time-variation function appears as frequency modulation (FM) effect in the radio waves. Concurrence rapidly reaches the disentangled state (death of entanglement) by increasing the effect of field decay. On the contrary, the atomic decay has no effect.https://www.mdpi.com/2076-3417/10/4/1510concurrencecontrolentanglementpancharatnam phasetwo-two level atoms |
| spellingShingle | Reyad Salah Ahmed M. Farouk Ahmed Farouk Mahmoud Abdel-Aty Hichem Eleuch Abdel-Shafy F. Obada Entanglement Control of Two-Level Atoms in Dissipative Cavities Applied Sciences concurrence control entanglement pancharatnam phase two-two level atoms |
| title | Entanglement Control of Two-Level Atoms in Dissipative Cavities |
| title_full | Entanglement Control of Two-Level Atoms in Dissipative Cavities |
| title_fullStr | Entanglement Control of Two-Level Atoms in Dissipative Cavities |
| title_full_unstemmed | Entanglement Control of Two-Level Atoms in Dissipative Cavities |
| title_short | Entanglement Control of Two-Level Atoms in Dissipative Cavities |
| title_sort | entanglement control of two level atoms in dissipative cavities |
| topic | concurrence control entanglement pancharatnam phase two-two level atoms |
| url | https://www.mdpi.com/2076-3417/10/4/1510 |
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