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Finite-size corrections in critical symmetry-resolved entanglement

by Benoit Estienne, Yacine Ikhlef, Alexi Morin-Duchesne

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Submission summary

Authors (as registered SciPost users): Benoit Estienne · Yacine Ikhlef · Alexi Morin-Duchesne
Submission information
Preprint Link:  (pdf)
Date accepted: 2021-01-27
Date submitted: 2021-01-18 11:25
Submitted by: Ikhlef, Yacine
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Mathematical Physics
Approach: Theoretical


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.

Author comments upon resubmission

We thank the referees for their reports and the suggestion for an additional citation. We agree this reference is relevant, and we have included it to the resubmitted manuscript.

List of changes

We have added the reference to Phys. Rev. B 102, 014455 (2020) , it is cited as [17] from the second paragraph of the Introduction section.

Published as SciPost Phys. 10, 054 (2021)

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