Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom
We investigate some new aspects of the nonlinear interaction between a three-level <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ξ</mo></semantics></math></inline-formula>-type atom...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/6/552 |
| _version_ | 1797596114143150080 |
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| author | Sameh Korashy Mahmoud Abdel-Aty |
| author_facet | Sameh Korashy Mahmoud Abdel-Aty |
| author_sort | Sameh Korashy |
| collection | DOAJ |
| description | We investigate some new aspects of the nonlinear interaction between a three-level <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ξ</mo></semantics></math></inline-formula>-type atom and bimodal field. The photon-assisted atomic phase damping, detuning parameter, Kerr nonlinearity and the time-dependent coupling have been considered. The general solution has been obtained by using the Schrődinger equation when the atom and the field are initially prepared in the excited state and coherent state, respectively. The atomic population inversion and concurrence are discussed. It is shown that the time-dependent coupling parameter and the detuning parameter can be considered as quantum controller parameters of the atomic population inversion and quantum entanglement in the considered model. |
| first_indexed | 2024-03-11T02:46:59Z |
| format | Article |
| id | doaj.art-a0af4fdefb9e4916861d14c5cfface69 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T02:46:59Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-a0af4fdefb9e4916861d14c5cfface692023-11-18T09:16:40ZengMDPI AGAxioms2075-16802023-06-0112655210.3390/axioms12060552Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level AtomSameh Korashy0Mahmoud Abdel-Aty1Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptWe investigate some new aspects of the nonlinear interaction between a three-level <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ξ</mo></semantics></math></inline-formula>-type atom and bimodal field. The photon-assisted atomic phase damping, detuning parameter, Kerr nonlinearity and the time-dependent coupling have been considered. The general solution has been obtained by using the Schrődinger equation when the atom and the field are initially prepared in the excited state and coherent state, respectively. The atomic population inversion and concurrence are discussed. It is shown that the time-dependent coupling parameter and the detuning parameter can be considered as quantum controller parameters of the atomic population inversion and quantum entanglement in the considered model.https://www.mdpi.com/2075-1680/12/6/552three-level atomtime-dependent coupling parameterKerr mediumatomic population inversionconcurrence |
| spellingShingle | Sameh Korashy Mahmoud Abdel-Aty Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom Axioms three-level atom time-dependent coupling parameter Kerr medium atomic population inversion concurrence |
| title | Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom |
| title_full | Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom |
| title_fullStr | Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom |
| title_full_unstemmed | Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom |
| title_short | Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom |
| title_sort | quantum control of a nonlinear time dependent interaction of a damped three level atom |
| topic | three-level atom time-dependent coupling parameter Kerr medium atomic population inversion concurrence |
| url | https://www.mdpi.com/2075-1680/12/6/552 |
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