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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
Submission summary
| Authors (as registered SciPost users): | Giuseppe Di Giulio · Sara Murciano |
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| Preprint Link: | https://arxiv.org/abs/1911.09588v3 (pdf) |
| Date accepted: | 2020-03-10 |
| Date submitted: | 2020-03-04 01:00 |
| Submitted by: | Murciano, Sara |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
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.
Published as SciPost Phys. 8, 046 (2020)