Bethe ansatz solutions of the Bose-Hubbard dimer

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік
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dc.contributor.author	Links, J.
dc.contributor.author	Hibberd, K.E.
dc.date.accessioned	2019-02-06T15:04:48Z
dc.date.available	2019-02-06T15:04:48Z
dc.date.issued	2006
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 81R12; 17B80; 81V99
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146048
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Bethe ansatz solutions of the Bose-Hubbard dimer	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA