Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry

We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the entanglement entropies from the double scaling limit. We also evaluate the geom...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2012
Hauptverfasser: Arita, C., Motegi, K.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2012
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/148659
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry / C. Arita, K. Motegi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Arita, C.
Motegi, K.
author_facet Arita, C.
Motegi, K.
citation_txt Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry / C. Arita, K. Motegi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the entanglement entropies from the double scaling limit. We also evaluate the geometric entanglement, which serves as another measure for entanglement. We find the geometric entanglement reaches its maximum at the isotropic point, and decreases with the increase of the anisotropy. This behavior is similar to that of the entanglement entropies.
first_indexed 2025-12-07T17:40:27Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T17:40:27Z
publishDate 2012
publisher Інститут математики НАН України
record_format dspace
spelling Arita, C.
Motegi, K.
2019-02-18T17:38:54Z
2019-02-18T17:38:54Z
2012
Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry / C. Arita, K. Motegi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 17B37; 81V70; 82B23
DOI: http://dx.doi.org/10.3842/SIGMA.2012.081
https://nasplib.isofts.kiev.ua/handle/123456789/148659
We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the entanglement entropies from the double scaling limit. We also evaluate the geometric entanglement, which serves as another measure for entanglement. We find the geometric entanglement reaches its maximum at the isotropic point, and decreases with the increase of the anisotropy. This behavior is similar to that of the entanglement entropies.
C. Arita is a JSPS Fellow for Research Abroad
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
Article
published earlier
spellingShingle Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
Arita, C.
Motegi, K.
title Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
title_full Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
title_fullStr Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
title_full_unstemmed Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
title_short Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
title_sort entanglement properties of a higher-integer-spin aklt model with quantum group symmetry
url https://nasplib.isofts.kiev.ua/handle/123456789/148659
work_keys_str_mv AT aritac entanglementpropertiesofahigherintegerspinakltmodelwithquantumgroupsymmetry
AT motegik entanglementpropertiesofahigherintegerspinakltmodelwithquantumgroupsymmetry