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BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalised exclusion statistics

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arxiv 1304.5818 v1 pith:NROVGBHF submitted 2013-04-22 nlin.SI cond-mat.supr-conmath-phmath.MP

Jon Links , Amir Moghaddam , Yao-Zhong Zhang This is my paper
classification nlin.SIcond-mat.supr-conmath-phmath.MP
keywords algebraansatzasymmetricbetheexcitationsexclusionfreegeneralised
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We demonstrate the occurrence of free quasi-particle excitations obeying generalised exclusion statistics in a BCS model with asymmetric pair scattering. The results are derived from an exact solution of the Hamiltonian, which was obtained via the algebraic Bethe ansatz utilising the representation theory of an underlying Yangian algebra. The free quasi-particle excitations are associated to highest-weight states of the Yangian algebra, corresponding to a class of analytic solutions of the Bethe ansatz equations.

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  1. Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions

    cond-mat.quant-gas 2025-06 conditional novelty 6.0 of 10

    A carefully tuned three-site extended Bose-Hubbard model with nearest-neighbour interactions is integrable and solved exactly by a Bethe ansatz.

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