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Exact Overlaps for All Integrable Matrix Product States of Rational Spin Chains

Tamas Gombor

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Phys. Rev. Lett. 135, 150402 – Published 9 October, 2025

DOI: https://doi.org/10.1103/4vy2-8cnk

Abstract

The overlaps between integrable matrix product states (MPSs) and Bethe states are important in both the nonequilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPSs of the glN, oN, and spN symmetric spin chains with arbitrary representations.

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Phys. Rev. Lett. 135, 150402– Published 9 October, 2025
  • Received 2 December 2024
  • Revised 27 August 2025
  • Accepted 19 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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