Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Finite-size corrections in critical symmetry-resolved entanglement

Abstract : In the presence of a conserved quantity, symmetry-resolved entanglement entropies are a refinement of the usual notion of entanglement entropy of a subsystem. For critical 1d quantum systems, it was recently shown in various contexts that these quantities generally obey entropy equipartition in the scaling limit, i.e. they become independent of the symmetry sector. In this paper, we examine the finite-size corrections to the entropy equipartition phenomenon, and show that the nature of the symmetry group plays a crucial role. In the case of a discrete symmetry group, the corrections decay algebraically with system size, with exponents related to the operators' scaling dimensions. In contrast, in the case of a U(1) symmetry group, the corrections only decay logarithmically with system size, with model-dependent prefactors. We show that the determination of these prefactors boils down to the computation of twisted overlaps.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02999508
Contributor : Inspire Hep <>
Submitted on : Tuesday, November 10, 2020 - 9:46:07 PM
Last modification on : Tuesday, December 1, 2020 - 9:21:29 PM

Links full text

Identifiers

Citation

Benoit Estienne, Yacine Ikhlef, Alexi Morin-Duchesne. Finite-size corrections in critical symmetry-resolved entanglement. 2020. ⟨hal-02999508⟩

Share

Metrics

Record views

16