Entanglemnt in nonlinear three-qubits Jaynes — Cummings
In this paper, we investigated the dynamics of entanglement of pairs of qubits in a system of three identical qubits that interact non-resonantly with the selected mode of a microwave resonator without loss with the Kerr medium by means of single-photon transitions. We have found solutions to the qu...
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Samara National Research University
2023-01-01
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| Series: | Вестник Самарского университета: Естественнонаучная серия |
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| Online Access: | https://journals.ssau.ru/est/article/viewFile/23145/9683 |
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| author | Alexander R. Bagrov Eugene K. Bashkirov |
| author_facet | Alexander R. Bagrov Eugene K. Bashkirov |
| author_sort | Alexander R. Bagrov |
| collection | DOAJ |
| description | In this paper, we investigated the dynamics of entanglement of pairs of qubits in a system of three identical qubits that interact non-resonantly with the selected mode of a microwave resonator without loss with the Kerr medium by means of single-photon transitions. We have found solutions to the quantum time Schrodinger equation for the total wave function of the system for the initial separable, biseparable and true entangled states of qubits and the Fock initial state of the resonator field. Based on these solutions, the criterion of entanglement of qubit pairs — negativity is calculated. The results of numerical simulation of the negativity of qubit pairs have shown that the presence of disorder and Kerr nonlinearity in the case of an initial non-entangled state of a pair of qubits can lead to a significant increase in the degree of their entanglement. In the case of an initial entangled state of a pair of qubits, the disorder and the Kerr medium can lead to a significant stabilization of the initial entanglement. |
| format | Article |
| id | doaj-art-edfc89a37b744b85b53676c33038df5b |
| institution | DOAJ |
| issn | 2541-7525 2712-8954 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Вестник Самарского университета: Естественнонаучная серия |
| spelling | doaj-art-edfc89a37b744b85b53676c33038df5b2025-08-20T03:08:51ZengSamara National Research UniversityВестник Самарского университета: Естественнонаучная серия2541-75252712-89542023-01-012918910110.18287/2541-7525-2023-29-1-89-1018769Entanglemnt in nonlinear three-qubits Jaynes — CummingsAlexander R. Bagrov0https://orcid.org/0000-0002-1098-0300Eugene K. Bashkirov1https://orcid.org/0000-0001-8682-4956Samara National Research UniversitySamara National Research UniversityIn this paper, we investigated the dynamics of entanglement of pairs of qubits in a system of three identical qubits that interact non-resonantly with the selected mode of a microwave resonator without loss with the Kerr medium by means of single-photon transitions. We have found solutions to the quantum time Schrodinger equation for the total wave function of the system for the initial separable, biseparable and true entangled states of qubits and the Fock initial state of the resonator field. Based on these solutions, the criterion of entanglement of qubit pairs — negativity is calculated. The results of numerical simulation of the negativity of qubit pairs have shown that the presence of disorder and Kerr nonlinearity in the case of an initial non-entangled state of a pair of qubits can lead to a significant increase in the degree of their entanglement. In the case of an initial entangled state of a pair of qubits, the disorder and the Kerr medium can lead to a significant stabilization of the initial entanglement.https://journals.ssau.ru/est/article/viewFile/23145/9683qubitsnot-resonant interactioncavityone-photon transitionskerr nonlinearityentanglementnegativitysudden death of entanglement |
| spellingShingle | Alexander R. Bagrov Eugene K. Bashkirov Entanglemnt in nonlinear three-qubits Jaynes — Cummings Вестник Самарского университета: Естественнонаучная серия qubits not-resonant interaction cavity one-photon transitions kerr nonlinearity entanglement negativity sudden death of entanglement |
| title | Entanglemnt in nonlinear three-qubits Jaynes — Cummings |
| title_full | Entanglemnt in nonlinear three-qubits Jaynes — Cummings |
| title_fullStr | Entanglemnt in nonlinear three-qubits Jaynes — Cummings |
| title_full_unstemmed | Entanglemnt in nonlinear three-qubits Jaynes — Cummings |
| title_short | Entanglemnt in nonlinear three-qubits Jaynes — Cummings |
| title_sort | entanglemnt in nonlinear three qubits jaynes cummings |
| topic | qubits not-resonant interaction cavity one-photon transitions kerr nonlinearity entanglement negativity sudden death of entanglement |
| url | https://journals.ssau.ru/est/article/viewFile/23145/9683 |
| work_keys_str_mv | AT alexanderrbagrov entanglemntinnonlinearthreequbitsjaynescummings AT eugenekbashkirov entanglemntinnonlinearthreequbitsjaynescummings |