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.
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Presenters
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Mark J Arildsen
SISSA
Authors
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Mark J Arildsen
SISSA
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Valentin Crépel
Flatiron Institute (CCQ)
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Nicolas Regnault
Princeton University, Laboratoire de Physique de l'Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université
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Benoit Estienne
Sorbonne Université