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Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach

by Sara Murciano, Giuseppe Di Giulio, Pasquale Calabrese

This Submission thread is now published as SciPost Phys. 8, 046 (2020)

Submission summary

As Contributors: Giuseppe Di Giulio · Sara Murciano
Arxiv Link: (pdf)
Date accepted: 2020-03-10
Date submitted: 2020-03-04 01:00
Submitted by: Murciano, Sara
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ spin-chain. While the former is a free bosonic system, the latter is genuinely interacting. We focus on a subsystem being half of an infinitely long chain. In both models, we obtain exact expressions for the charged moments and for the symmetry resolved entropies. While for the spin chain we found exact equipartition of entanglement (i.e. all the symmetry resolved entropies are the same), this is not the case for the harmonic system where equipartition is effectively recovered only in some limits. Exploiting the gaussianity of the harmonic chain, we also develop an exact correlation matrix approach to the symmetry resolved entanglement that allows us to test numerically our analytic results.

Ontology / Topics

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Entanglement Transfer matrix XXZ model

Published as SciPost Phys. 8, 046 (2020)

Author comments upon resubmission

We are submitting a revised version of the manuscript "Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach".
We would like to thank the editors for their work and the referees for
their useful comments and suggestions.

List of changes

As suggested by the referees, we have tried to strengthen the motivation for studying the symmetry resolved entanglement, adding some comments in the introduction and also some references which support our interest for the topic.

Submission & Refereeing History

Published as SciPost Phys. 8, 046 (2020)

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Resubmission 1911.09588v3 on 4 March 2020

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