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Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

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abstract

We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relations. These relations extend the ones already known in the literature in the context of algebraic or functional Bethe ansatz. The eigenvectors are represented as sums over cosets of the $BC_n$ Weyl group.

fields

math-ph 1

years

2026 1

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UNVERDICTED 1

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Open-boundary integrable quantum circuits with different geometries

math-ph · 2026-07-02 · unverdicted · novelty 7.0

Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.

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  • Open-boundary integrable quantum circuits with different geometries math-ph · 2026-07-02 · unverdicted · none · ref 69 · internal anchor

    Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.