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Twisting singular solutions of Bethe's equations

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arxiv 1409.7382 v3 pith:PEG7AG2J submitted 2014-09-25 math-ph hep-thmath.MP

Rafael I. Nepomechie , Chunguang Wang This is my paper
classification math-phhep-thmath.MP
keywords singularsolutionsbetheeigenvalueseigenvectorsequationsadmitcase
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The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.

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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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