Investigation of Entanglement in the Moshinsky Atom
One of the most critical aspects of studying entanglement states is quantifying the degree of entanglement. One of the entanglement measures for pure states is Van- Neumann entropy, which is why Van-Neumann entropy is also called entanglement entropy. In this work, to calculate the entanglement of a...
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Alzahra University
2023-09-01
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Series: | فیزیک کاربردی ایران |
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Online Access: | https://jap.alzahra.ac.ir/article_7103_74f92ff1c2750be42ffba4d801e0f4cc.pdf |
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author | Hamdollah Salehi Mehrzad Ashrafpour Hamide Arimashi |
author_facet | Hamdollah Salehi Mehrzad Ashrafpour Hamide Arimashi |
author_sort | Hamdollah Salehi |
collection | DOAJ |
description | One of the most critical aspects of studying entanglement states is quantifying the degree of entanglement. One of the entanglement measures for pure states is Van- Neumann entropy, which is why Van-Neumann entropy is also called entanglement entropy. In this work, to calculate the entanglement of a three-particle atom called the Moshinsky atom; first, the reduced density matrix was calculated and then using the coordinates of the three particles in the lithium atom, the entropy entanglement was calculated. We obtained the entropy of entanglement in terms of the frequency parameter related to the external coordinate field. |
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format | Article |
id | doaj.art-09d8557d0ae645dead8dc8c403a1cf0a |
institution | Directory Open Access Journal |
issn | 2783-1043 2783-1051 |
language | fas |
last_indexed | 2024-03-12T21:16:30Z |
publishDate | 2023-09-01 |
publisher | Alzahra University |
record_format | Article |
series | فیزیک کاربردی ایران |
spelling | doaj.art-09d8557d0ae645dead8dc8c403a1cf0a2023-07-29T06:52:23ZfasAlzahra Universityفیزیک کاربردی ایران2783-10432783-10512023-09-0113314016210.22051/ijap.2023.38413.12467103Investigation of Entanglement in the Moshinsky AtomHamdollah Salehi0Mehrzad Ashrafpour1Hamide Arimashi2Professor, Department of Physics, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, IranAssistant Professor, Department of Physics, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, IranM. Sc. Student, Department of Physics, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran.One of the most critical aspects of studying entanglement states is quantifying the degree of entanglement. One of the entanglement measures for pure states is Van- Neumann entropy, which is why Van-Neumann entropy is also called entanglement entropy. In this work, to calculate the entanglement of a three-particle atom called the Moshinsky atom; first, the reduced density matrix was calculated and then using the coordinates of the three particles in the lithium atom, the entropy entanglement was calculated. We obtained the entropy of entanglement in terms of the frequency parameter related to the external coordinate field.https://jap.alzahra.ac.ir/article_7103_74f92ff1c2750be42ffba4d801e0f4cc.pdfentanglementdensity functional theorymany-body systemsmoshinsky atomvan-neumann entropyreduced density matrix |
spellingShingle | Hamdollah Salehi Mehrzad Ashrafpour Hamide Arimashi Investigation of Entanglement in the Moshinsky Atom فیزیک کاربردی ایران entanglement density functional theory many-body systems moshinsky atom van-neumann entropy reduced density matrix |
title | Investigation of Entanglement in the Moshinsky Atom |
title_full | Investigation of Entanglement in the Moshinsky Atom |
title_fullStr | Investigation of Entanglement in the Moshinsky Atom |
title_full_unstemmed | Investigation of Entanglement in the Moshinsky Atom |
title_short | Investigation of Entanglement in the Moshinsky Atom |
title_sort | investigation of entanglement in the moshinsky atom |
topic | entanglement density functional theory many-body systems moshinsky atom van-neumann entropy reduced density matrix |
url | https://jap.alzahra.ac.ir/article_7103_74f92ff1c2750be42ffba4d801e0f4cc.pdf |
work_keys_str_mv | AT hamdollahsalehi investigationofentanglementinthemoshinskyatom AT mehrzadashrafpour investigationofentanglementinthemoshinskyatom AT hamidearimashi investigationofentanglementinthemoshinskyatom |