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Bethe Ansatz Solutions of the Bose–Hubbard Dimer
Symmetry, integrability and geometry: methods and applications, Tome 2 (2006) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Jon Links and Katrina E. Hibberd},
     title = {Bethe {Ansatz} {Solutions} of the {Bose{\textendash}Hubbard} {Dimer}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2006},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a94/}
}
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Jon Links; Katrina E. Hibberd. Bethe Ansatz Solutions of the Bose–Hubbard Dimer. Symmetry, integrability and geometry: methods and applications, Tome 2 (2006). http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a94/

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