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Relaxation and entropy generation after quenching quantum spin chains

by M. Lencses, O. Pomponio, G. Takacs

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Gabor Takacs
Submission information
Preprint Link: https://arxiv.org/abs/2004.09550v3  (pdf)
Date accepted: 2020-07-13
Date submitted: 2020-06-25 02:00
Submitted by: Takacs, Gabor
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approaches: Theoretical, Computational

Abstract

This work considers entropy generation and relaxation in quantum quenches in the Ising and $3$-state Potts spin chains. In the absence of explicit symmetry breaking we find universal ratios involving R\'enyi entropy growth rates and magnetisation relaxation for small quenches. We also demonstrate that the magnetisation relaxation rate provides an observable signature for the "dynamical Gibbs effect" which is a recently discovered characteristic non-monotonous behaviour of entropy growth linked to changes in the quasi-particle spectrum.

Author comments upon resubmission

Dear Editor,

hereby I resubmit the revised version of our paper entitled "Relaxation and entropy generation after quenching quantum spin chains". We thank the referees for their suggestions. The changes made in reply are listed below.

Yours faithfully,

Gabor Takacs

List of changes

To report 1:
1. We changed the notation for the fermion mass to capital M.
2. We agree with the comment, and accordingly added the word "some" in the sentence.
3.-4. Again, we agree with the suggestions for clarification, and changed the sentence accordingly.
5. Indeed, the sentence ended unclear after editing. We split and reformulated it, to make its meaning clear.

To report 2:
1. We added a short subsection 3.3, which defines what we mean exactly by semi-locality, and the parallel between the order parameter and the branch point twist field in this regard. In this process we also added some references.
2. We thank the referee for pointing out the new result. We added the reference and modified the sentence accordingly.

Additionally, we also updated reference [43] (O. A. Castro-Alvaredo et al.: Entanglement Oscillations near a Quantum Critical Point), which has appeared in Phys. Rev. Lett.

Published as SciPost Phys. 9, 011 (2020)


Reports on this Submission

Report #1 by Olalla Castro-Alvaredo (Referee 1) on 2020-6-26 (Invited Report)

Strengths

See my 1st Report

Weaknesses

See my 1st Report

Report

When I first reported on this paper I was very positive about it and had only small suggestions for the authors. I can see that they have taken then seriously and have made small improvements.

As before, I think this is a good paper that makes a valuable and timely contribution to the study of the out-of-equilibrium dynamics of entanglement.

Requested changes

None

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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Comments

Anonymous on 2020-07-09  [id 875]

Category:
remark

Editorial comment: the second referee also confirmed that he is satisfied by the changes.