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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Main Authors: Hamdollah Salehi, Mehrzad Ashrafpour, Hamide Arimashi
Format: Article
Language:fas
Published: Alzahra University 2023-09-01
Series:فیزیک کاربردی ایران
Subjects:
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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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
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