Talk by Mark Arildsen (SISSA Trieste)

05.06.2025 11:30

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

Thursday, 5 June 2025, at 11:30

Location:
Erwin Schrödinger lecture hall  
Faculty of Physics, Strudlhofgasse 4/Boltzmanngasse 5, 5th floor


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

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.


Host:
Norbert Schuch

You are welcome to join this talk without prior registration.

This talk is part of the Quantum Information and Quantum Many-Body Physics seminar. For information on further talks in this series, please visit our seminar page.