Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions
Extended Bose-Hubbard models have been employed in the study of cold-atom systems with dipolar interactions. It is shown that, for a certain choice of the coupling parameters, there exists an integrable extended 3-site Bose-Hubbard model with nearest-neighbour interactions. A Bethe ansatz procedure...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214091 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions. Jon Links. SIGMA 21 (2025), 077, 11 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749039031746560 |
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| author | Links, Jon |
| author_facet | Links, Jon |
| citation_txt | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions. Jon Links. SIGMA 21 (2025), 077, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Extended Bose-Hubbard models have been employed in the study of cold-atom systems with dipolar interactions. It is shown that, for a certain choice of the coupling parameters, there exists an integrable extended 3-site Bose-Hubbard model with nearest-neighbour interactions. A Bethe ansatz procedure is developed to obtain expressions for the energy spectrum and eigenstates.
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| first_indexed | 2026-03-21T19:07:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214091 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T19:07:11Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Links, Jon 2026-02-19T11:10:16Z 2025 Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions. Jon Links. SIGMA 21 (2025), 077, 11 pages 1815-0659 2020 Mathematics Subject Classification: 17B80; 81R12 arXiv:2506.21789 https://nasplib.isofts.kiev.ua/handle/123456789/214091 https://doi.org/10.3842/SIGMA.2025.077 Extended Bose-Hubbard models have been employed in the study of cold-atom systems with dipolar interactions. It is shown that, for a certain choice of the coupling parameters, there exists an integrable extended 3-site Bose-Hubbard model with nearest-neighbour interactions. A Bethe ansatz procedure is developed to obtain expressions for the energy spectrum and eigenstates. This research was supported by the Australian Research Council through the Discovery Project DP200101339, Quantum control designed from broken integrability. The author thanks Lachlan Bennett, Phil Isaac, Angela Foerster, Sam Kault, and Owen Thompson for discussions, and the anonymous referees for their feedback leading to improvements in the manuscript. The author acknowledges the traditional owners of the Turrbal and Jagera country on which The University of Queensland (St. Lucia campus) operates. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions Article published earlier |
| spellingShingle | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions Links, Jon |
| title | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions |
| title_full | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions |
| title_fullStr | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions |
| title_full_unstemmed | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions |
| title_short | Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions |
| title_sort | integrable 3-site, tilted, extended bose-hubbard model with nearest-neighbour interactions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214091 |
| work_keys_str_mv | AT linksjon integrable3sitetiltedextendedbosehubbardmodelwithnearestneighbourinteractions |