Bethe ansatz solutions of the Bose-Hubbard dimer
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Bethe ansatz solutions of the Bose-Hubbard dimer
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| Creator |
Links, J.
Hibberd, K.E. |
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| 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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| Date |
2019-02-06T15:04:48Z
2019-02-06T15:04:48Z 2006 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/146048 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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