Bethe Ansatz Solutions of the Bose-Hubbard Dimer
arXiv:nlin/0612063 · doi:10.3842/SIGMA.2006.095
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.
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
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Cited by in corpus (5)
- Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
- Dynamics and symmetries of a repulsively bound atom pair in an infinite optical lattice
- Coherence Properties of the Repulsive Anyon-Hubbard Dimer
- The Yang-Baxter paradox
- Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions