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Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains
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We present an integrability-preserving recursion relation for the explicit construction of long-range spin chain Hamiltonians. These chains are generalizations of the Haldane-Shastry and Inozemtsev models and they play an important role in recent advances in string/gauge duality. The method is based on arbitrary nearest-neighbour integrable spin chains and it sheds light on the moduli space of deformation parameters. We also derive the closed chain asymptotic Bethe equations.
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Forward citations
Cited by 2 Pith papers
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The quantum group structure of long-range integrable deformations
Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order...
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An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
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