Symmetry-Resolved Entanglement Entropy in a Non-Abelian Quantum Hall State

ORAL

Abstract

Quantum Hall states serve as an excellent platform for exploration of symmetry-resolved entanglement in the (2+1)-dimensional setting. Following on prior investigation of Abelian quantum Hall states [Oblak, Regnault, Estienne, PRB 105, 115131], we now compute the full counting statistics and symmetry-resolved entanglement entropies of the non-Abelian, bosonic Moore-Read quantum Hall state, with the aid of numerical computations from exact matrix product states. We find a form of equipartition of entanglement, up to finite-size corrections. We are also able to perform detailed analysis of the finite-size splittings of the symmetry-resolved entanglement spectrum using conformal field theory, which enables a granular understanding of the role of the finite-size corrections in a range of entanglement measures for these states.

Presenters

  • Mark J Arildsen

    • SISSA

Authors

  • Mark J Arildsen

    • SISSA
  • Valentin Crépel

    • Flatiron Institute (CCQ)
  • Nicolas Regnault

    • Princeton University
    • Laboratoire de Physique de l'Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université
  • Benoit Estienne

    • Sorbonne Université