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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| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148659 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1486592019-02-19T01:27:52Z Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry Arita, C. Motegi, K. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148659 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Arita, C. Motegi, K. |
| spellingShingle |
Arita, C. Motegi, K. Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Arita, C. Motegi, K. |
| author_sort |
Arita, C. |
| title |
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_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_sort |
entanglement properties of a higher-integer-spin aklt model with quantum group symmetry |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148659 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT aritac entanglementpropertiesofahigherintegerspinakltmodelwithquantumgroupsymmetry AT motegik entanglementpropertiesofahigherintegerspinakltmodelwithquantumgroupsymmetry |
| first_indexed |
2023-05-20T17:30:58Z |
| last_indexed |
2023-05-20T17:30:58Z |
| _version_ |
1796153471931514880 |