Exactly solvable models in atomic and molecular physics
arXiv:cond-mat/0702129 · doi:10.1016/j.nuclphysb.2007.03.039
Abstract
We construct integrable generalised models in a systematic way exploring different representations of the gl(N) algebra. The models are then interpreted in the context of atomic and molecular physics, most of them related to different types of Bose-Einstein condensates. The spectrum of the models is given through the analytical Bethe ansatz method. We further extend these results to the case of the superalgebra gl(M|N), providing in this way models which also include fermions.
33 pages
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- Quantum Inverse Scattering Method with anyonic grading
- Where are the roots of the Bethe Ansatz equations?
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- Bethe states for the two-site Bose-Hubbard model: a binomial approach
- Quasi-Exactly Solvable Models Derived from the Quasi-Gaudin Algebra
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- A bosonic multi-state two-well model
- Exactly solvable models for triatomic-molecular Bose-Einstein Condensates