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This article is cited in 18 scientific papers (total in 18 papers)
Bethe Ansatz Solutions of the Bose–Hubbard Dimer
Jon Links, Katrina E. Hibberd Centre for Mathematical Physics, School of Physical Sciences, The University of Queensland, 4072, Australia
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.
Keywords:
Bose–Hubbard dimer; Bethe ansatz.
Received: October 26, 2006; in final form December 19, 2006; Published online December 29, 2006
Citation:
Jon Links, Katrina E. Hibberd, “Bethe Ansatz Solutions of the Bose–Hubbard Dimer”, SIGMA, 2 (2006), 095, 8 pp.
Linking options:
https://www.mathnet.ru/eng/sigma123 https://www.mathnet.ru/eng/sigma/v2/p95
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Abstract page: | 400 | Full-text PDF : | 96 | References: | 39 |
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