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On exact overlaps in integrable spin chains

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arxiv 2002.12065 v2 pith:SXGVHK26 submitted 2020-02-27 cond-mat.stat-mech hep-thnlin.SI

Yunfeng Jiang , Balázs Pozsgay This is my paper · ORCID
classification cond-mat.stat-mechhep-thnlin.SI
keywords spinchainsintegrablebetheexactmethodoverlapsstates
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abstract

We develop a new method to compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the "rotation trick" of the corresponding lattice model. It leads to a rigorous proof of the factorized overlap formulas in a number of cases, some of which were inaccessible to earlier methods. As concrete examples, we consider the compact XXX and XXZ Heisenberg spin chains, and the non-compact $SL(2,\mathbb{R})$ spin chain.

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  1. Derivations for the MPS overlap formulas of rational spin chains

    hep-th 2025-05 conditional novelty 7.0 of 10

    A universal, representation-independent MPS overlap formula is proved for glN rational spin chains and proposed for soN and spN chains.

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