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Lack of symmetry restoration after a quantum quench: an entanglement asymmetry study

by Filiberto Ares, Sara Murciano, Eric Vernier, Pasquale Calabrese

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Submission summary

Authors (as registered SciPost users): Sara Murciano
Submission information
Preprint Link: https://arxiv.org/abs/2302.03330v4  (pdf)
Date accepted: 2023-07-11
Date submitted: 2023-06-23 12:38
Submitted by: Murciano, Sara
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

We consider the quantum quench in the XX spin chain starting from a tilted N\'eel state which explicitly breaks the $U(1)$ symmetry of the post-quench Hamiltonian. Very surprisingly, the $U(1)$ symmetry is not restored at large time because of the activation of a non-Abelian set of charges which all break it. The breaking of the symmetry can be effectively and quantitatively characterised by the recently introduced entanglement asymmetry. By a combination of exact calculations and quasi-particle picture arguments, we are able to exactly describe the behaviour of the asymmetry at any time after the quench. Furthermore we show that the stationary behaviour is completely captured by a non-Abelian generalised Gibbs ensemble. While our computations have been performed for a non-interacting spin chain, we expect similar results to hold for the integrable interacting case as well because of the presence of non-Abelian charges also in that case.

Author comments upon resubmission

We thank the referee and the editor for their work and the careful reading of the manuscript. In the new version, we have changed the text and corrected the typos according to the suggestions and comments of the referee.

List of changes

- Typos fixed;
- References added.

Published as SciPost Phys. 15, 089 (2023)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2023-6-25 (Invited Report)

Report

I am satisfied with the changes that the authors have made and with the explanations they have provided following the last round of review, for which I thank them. I recommend the paper for publication.

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