Bethe ansatz solutions of the Bose-Hubbard Dimer

Links, Jon and Hibberd , Katrina E. (2006) Bethe ansatz solutions of the Bose-Hubbard Dimer. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2 95: 1-8. doi:10.3842/SIGMA.2006.095


Author Links, Jon
Hibberd , Katrina E.
Title Bethe ansatz solutions of the Bose-Hubbard Dimer
Journal name Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)   Check publisher's open access policy
ISSN 1815-0659
Publication date 2006
Sub-type Critical review of research, literature review, critical commentary
DOI 10.3842/SIGMA.2006.095
Open Access Status DOI
Volume 2
Issue 95
Start page 1
End page 8
Total pages 8
Editor Anatoly Nikitin
Place of publication Kyiv, Ukraine
Publisher Natsional'na Akademiya Nauk Ukrainy, Instytut Matermatyky
Collection year 2006
Subject C1
230199 Mathematics not elsewhere classified
240201 Theoretical Physics
780101 Mathematical sciences
780102 Physical sciences
Formatted 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.
Keyword Bose-Hubbard dimer
Bethe ansatz
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collections: Excellence in Research Australia (ERA) - Collection
2007 Higher Education Research Data Collection
School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 11 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 15 Aug 2007, 10:15:02 EST