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

by Sara Murciano, Giuseppe Di Giulio, Pasquale Calabrese

Submission summary

As Contributors: Sara Murciano
Arxiv Link: https://arxiv.org/abs/1911.09588v2
Date submitted: 2020-01-09
Submitted by: Murciano, Sara
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
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.

Current status:
Editor-in-charge assigned


Submission & Refereeing History

Submission 1911.09588v2 on 9 January 2020

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