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  • Open Access

Symmetry-resolved entanglement entropy in a non-Abelian fractional quantum Hall state

Mark J. Arildsen

Valentin Crépel

Nicolas Regnault

Benoit Estienne

  • SISSA—International School for Advanced Studies and INFN, via Bonomea 265, 34136 Trieste, Italy and Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Wien, Austria

  • Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA and Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7

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Phys. Rev. B 113, 075108 – Published 4 February, 2026

DOI: https://doi.org/10.1103/h336-ysly

Abstract

Symmetry-resolved entanglement entropy provides a powerful framework for probing the internal structure of quantum many-body states by decomposing entanglement into contributions from distinct symmetry sectors. In this work, we apply matrix product state techniques to study the bosonic, non-Abelian Moore-Read quantum Hall state, enabling precise numerical evaluation of both the full counting statistics and symmetry-resolved entanglement entropies. Our results reveal an approximate equipartition of entanglement among symmetry sectors, consistent with theoretical expectations and subject to finite-size corrections. The results also show that these expectations for symmetry-resolved entanglement entropy remain valid in the case of a non-Abelian state where the topological sectors cannot be distinguished by the Abelian U(1) symmetry alone, and where neutral and charged modes possess distinct velocities. We additionally perform a detailed comparison of the entanglement spectrum with predictions from the Li-Haldane conjecture, finding remarkable agreement, and enabling a more precise understanding of the effects of the distinct neutral and charged velocities. This not only provides a stringent test of the conjecture but also highlights its explanatory power in understanding the origin and structure of finite-size effects across different symmetry sectors.

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Phys. Rev. B 113, 075108– Published 4 February, 2026
  • Received 2 September 2025
  • Accepted 5 January 2026
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