Bethe ansatz solutions of the Bose-Hubbard dimer
The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly solved by Bethe ansatz methods. Here we review the known exact solutions, highligh...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146048 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Bethe ansatz solutions of the Bose-Hubbard dimer / J. Links, K.E. Hibberd // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862718118611124224 |
|---|---|
| author | Links, J. Hibberd, K.E. |
| author_facet | Links, J. Hibberd, K.E. |
| citation_txt | Bethe ansatz solutions of the Bose-Hubbard dimer / J. Links, K.E. Hibberd // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly solved by Bethe ansatz methods. Here we review the known exact solutions, highlighting the contributions of V.B. Kuznetsov to this field. Two of the exact solutions arise in the context of the Quantum Inverse Scattering Method, while the third solution uses a differential operator realisation of the su(2) Lie algebra.
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| first_indexed | 2025-12-07T18:13:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146048 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:13:13Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Links, J. Hibberd, K.E. 2019-02-06T15:04:48Z 2019-02-06T15:04:48Z 2006 Bethe ansatz solutions of the Bose-Hubbard dimer / J. Links, K.E. Hibberd // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R12; 17B80; 81V99 https://nasplib.isofts.kiev.ua/handle/123456789/146048 The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly solved by Bethe ansatz methods. Here we review the known exact solutions, highlighting the contributions of V.B. Kuznetsov to this field. Two of the exact solutions arise in the context of the Quantum Inverse Scattering Method, while the third solution uses a differential operator realisation of the su(2) Lie algebra. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The work was funded by the Australian Research Council under Discovery Project DP0557949. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bethe ansatz solutions of the Bose-Hubbard dimer Article published earlier |
| spellingShingle | Bethe ansatz solutions of the Bose-Hubbard dimer Links, J. Hibberd, K.E. |
| title | Bethe ansatz solutions of the Bose-Hubbard dimer |
| title_full | Bethe ansatz solutions of the Bose-Hubbard dimer |
| title_fullStr | Bethe ansatz solutions of the Bose-Hubbard dimer |
| title_full_unstemmed | Bethe ansatz solutions of the Bose-Hubbard dimer |
| title_short | Bethe ansatz solutions of the Bose-Hubbard dimer |
| title_sort | bethe ansatz solutions of the bose-hubbard dimer |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146048 |
| work_keys_str_mv | AT linksj betheansatzsolutionsofthebosehubbarddimer AT hibberdke betheansatzsolutionsofthebosehubbarddimer |