Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations
The dynamics of an identical pair of entangled spin-1/2 particles, both subjected to the same random magnetic field, are studied. The dynamics of the pure joint state of the pair are derived using stochastic calculus. An ensemble of such pure states is combined using the modified spin joint density...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Concepts in Magnetic Resonance: Part A, Bridging Education and Research |
| Online Access: | http://dx.doi.org/10.1155/2023/4182623 |
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| author | Venkata Satya Surya Phaneendra Pydimarri Timothy R. Field |
| author_facet | Venkata Satya Surya Phaneendra Pydimarri Timothy R. Field |
| author_sort | Venkata Satya Surya Phaneendra Pydimarri |
| collection | DOAJ |
| description | The dynamics of an identical pair of entangled spin-1/2 particles, both subjected to the same random magnetic field, are studied. The dynamics of the pure joint state of the pair are derived using stochastic calculus. An ensemble of such pure states is combined using the modified spin joint density matrix, and the joint relaxation time for the pair of spin-1/2 particles is obtained. The dynamics can be interpreted as a special kind of correlation involving the spatial components of the Bloch polarization vectors of the constituent entangled spin-1/2 particles. |
| format | Article |
| id | doaj-art-25fd4e0a00bb4f8b9727639c27dc8c2d |
| institution | Kabale University |
| issn | 1552-5023 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Concepts in Magnetic Resonance: Part A, Bridging Education and Research |
| spelling | doaj-art-25fd4e0a00bb4f8b9727639c27dc8c2d2025-08-20T03:55:00ZengWileyConcepts in Magnetic Resonance: Part A, Bridging Education and Research1552-50232023-01-01202310.1155/2023/4182623Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of CorrelationsVenkata Satya Surya Phaneendra Pydimarri0Timothy R. Field1School of Computational Science and EngineeringDepartments of Electrical & Computer Engineering and Mathematics & StatisticsThe dynamics of an identical pair of entangled spin-1/2 particles, both subjected to the same random magnetic field, are studied. The dynamics of the pure joint state of the pair are derived using stochastic calculus. An ensemble of such pure states is combined using the modified spin joint density matrix, and the joint relaxation time for the pair of spin-1/2 particles is obtained. The dynamics can be interpreted as a special kind of correlation involving the spatial components of the Bloch polarization vectors of the constituent entangled spin-1/2 particles.http://dx.doi.org/10.1155/2023/4182623 |
| spellingShingle | Venkata Satya Surya Phaneendra Pydimarri Timothy R. Field Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations Concepts in Magnetic Resonance: Part A, Bridging Education and Research |
| title | Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations |
| title_full | Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations |
| title_fullStr | Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations |
| title_full_unstemmed | Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations |
| title_short | Dynamics of Pair of Entangled Spin-1/2 Particles and Quantification of the Dynamics in terms of Correlations |
| title_sort | dynamics of pair of entangled spin 1 2 particles and quantification of the dynamics in terms of correlations |
| url | http://dx.doi.org/10.1155/2023/4182623 |
| work_keys_str_mv | AT venkatasatyasuryaphaneendrapydimarri dynamicsofpairofentangledspin12particlesandquantificationofthedynamicsintermsofcorrelations AT timothyrfield dynamicsofpairofentangledspin12particlesandquantificationofthedynamicsintermsofcorrelations |