Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits
In this paper, we investigated the dynamics of entanglement of two qubits interacting non-resonantly with the thermal field of a one-mode lossless resonator, taking into account the Ising-type direct interaction between qubits. Based on the exact solution of the quantum Liouville equation, we found...
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Samara National Research University
2024-08-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO48-4/480401e.html |
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| author | E.K. Bashkirov |
| author_facet | E.K. Bashkirov |
| author_sort | E.K. Bashkirov |
| collection | DOAJ |
| description | In this paper, we investigated the dynamics of entanglement of two qubits interacting non-resonantly with the thermal field of a one-mode lossless resonator, taking into account the Ising-type direct interaction between qubits. Based on the exact solution of the quantum Liouville equation, we found the density matrix of the system under consideration. With its help, the reduced qubit-qubit density matrix was calculated and the entanglement criteriоn of the two-qubit system, Pres-Horodeсki parameter, was found. It was shown that for the resonance model and separable initial states of qubits, the direct interaction of qubits leads to a significant increase in the maximum degree of their entanglement. It was also found that for the nonresonant interaction between qubits and field, the increase of the maximum degree of entanglement of qubits is much greater than that due to direct interaction. For the original entangled Bell-type state of the qubits, the direct interaction was found to lead to the vanishing of the effect of the sudden death of entanglement in the case of a resonant qubit-field interaction and, conversely, to an increase in this effect for a nonresonant interaction. |
| format | Article |
| id | doaj-art-9a0e5ef97c424f82a35c4aa99b79d27b |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-9a0e5ef97c424f82a35c4aa99b79d27b2025-02-08T15:55:40ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792024-08-0148447548210.18287/2412-6179-CO-1372Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubitsE.K. Bashkirov0Samara National Research UniversityIn this paper, we investigated the dynamics of entanglement of two qubits interacting non-resonantly with the thermal field of a one-mode lossless resonator, taking into account the Ising-type direct interaction between qubits. Based on the exact solution of the quantum Liouville equation, we found the density matrix of the system under consideration. With its help, the reduced qubit-qubit density matrix was calculated and the entanglement criteriоn of the two-qubit system, Pres-Horodeсki parameter, was found. It was shown that for the resonance model and separable initial states of qubits, the direct interaction of qubits leads to a significant increase in the maximum degree of their entanglement. It was also found that for the nonresonant interaction between qubits and field, the increase of the maximum degree of entanglement of qubits is much greater than that due to direct interaction. For the original entangled Bell-type state of the qubits, the direct interaction was found to lead to the vanishing of the effect of the sudden death of entanglement in the case of a resonant qubit-field interaction and, conversely, to an increase in this effect for a nonresonant interaction.https://www.computeroptics.ru/eng/KO/Annot/KO48-4/480401e.htmlqubitscoplanar lossless resonatorresonant and nonresonant interactionthermal fieldentanglementnegativitysudden death of entanglement |
| spellingShingle | E.K. Bashkirov Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits Компьютерная оптика qubits coplanar lossless resonator resonant and nonresonant interaction thermal field entanglement negativity sudden death of entanglement |
| title | Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits |
| title_full | Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits |
| title_fullStr | Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits |
| title_full_unstemmed | Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits |
| title_short | Dynamics of a two-qubit Tavis-Cummings model in the presence of an Ising-type interaction between qubits |
| title_sort | dynamics of a two qubit tavis cummings model in the presence of an ising type interaction between qubits |
| topic | qubits coplanar lossless resonator resonant and nonresonant interaction thermal field entanglement negativity sudden death of entanglement |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO48-4/480401e.html |
| work_keys_str_mv | AT ekbashkirov dynamicsofatwoqubittaviscummingsmodelinthepresenceofanisingtypeinteractionbetweenqubits |