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Fast analytic solver of rational Bethe equations
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In this note we propose an approach for a fast analytic determination of all possible eigenstates of rational GL(N|M) integrable spin chains of given not too large length, in terms of Baxter Q-functions. We observe that all exceptional solutions, if any, are automatically correctly accounted. The key intuition behind the approach is that the equations on the Q-functions are determined solely by the Young diagram, and not by the choice of the rank of the GL symmetry. Hence we can choose arbitrary N and M that accommodate the desired representation. Then we consider all distinguished Q-functions at once, not only those following a certain Kac-Dynkin path.
Forward citations
Cited by 4 Pith papers
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Norms, overlaps and Yangian descendants for the Haldane--Shastry spin chain
Constructs Yangian descendants for the Haldane-Shastry chain via algebraic Bethe ansatz and derives norms and overlaps formulae.
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Preparing multi-qudit states in a definite-weight subspace
A deterministic algorithm prepares arbitrary multi-qudit states in definite-weight subspaces via Gray codes for multiset permutations and applies it to SU(3) Bethe states and SU(d) Dicke states.
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Preparing multi-qudit states in a definite-weight subspace
A deterministic algorithm prepares arbitrary multi-qudit states in a definite-weight subspace via Gray-code ordering of multiset permutations, reducing preparation to controlled 2-qudit Gray rotations, and is demonstr...
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Classical correlation functions at strong coupling from hexagonalization
In the classical strong-coupling regime, half-BPS correlation functions in planar N=4 SYM exponentiate under the hexagon formalism and are governed by TBA equations structurally equivalent to Gaiotto-Moore-Neitzke equ...
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