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Euler-scale dynamical correlations in integrable systems with fluid motion

by Frederik S. Møller, Gabriele Perfetto, Benjamin Doyon, Jörg Schmiedmayer

Submission summary

As Contributors: Frederik Skovbo Møller · Gabriele Perfetto · Jörg Schmiedmayer
Arxiv Link: https://arxiv.org/abs/2007.00527v5 (pdf)
Date submitted: 2020-11-17 15:59
Submitted by: Møller, Frederik Skovbo
Submitted to: SciPost Physics Core
Academic field: Physics
Specialties:
  • Mathematical Physics
  • Statistical and Soft Matter Physics
Approaches: Theoretical, Computational

Abstract

We devise an iterative scheme for numerically calculating dynamical two-point correlation functions in integrable many-body systems, in the Eulerian scaling limit. Expressions for these were originally derived in Ref. [1] by combining the fluctuation-dissipation principle with generalized hydrodynamics. Crucially, the scheme is able to address non-stationary, inhomogeneous situations, when motion occurs at the Euler-scale of hydrodynamics. In such situations, in interacting systems, the simple correlations due to fluid modes propagating with the flow receive subtle corrections, which we test. Using our scheme, we study the spreading of correlations in several integrable models from inhomogeneous initial states. For the classical hard-rod model we compare our results with Monte-Carlo simulations and observe excellent agreement at long time-scales, thus providing the first demonstration of validity for the expressions derived in Ref. [1]. We also observe the onset of the Euler-scale limit for the dynamical correlations.

Current status:
Editor-in-charge assigned


Author comments upon resubmission

Dear Editor,

Many thanks for your message and for forwarding us the report. Once again, we have answered all the questions of the referee report directly in the reply/comment below. We hope that the Referee will be satisfied by our revision and that the manuscript will be found ready for publication.

Best regards,
the Authors.

List of changes

In the introduction section, we have expanded the discussion about the relaxation of isolated many-body quantum systems at long times.

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Comments

Anonymous on 2020-11-19

It is strange, but I don't see the last changes in the current version (v5 in arXiv). Probably, it is a technical mistake as the changes do present in the v4, which didn't appear in SciPost.

Anonymous on 2020-11-19
(in reply to Anonymous Comment on 2020-11-19)

Strange. For me, the current version (v5) shows up correctly (on two different devices) - both in arXiv and on the SciPost submission page. Note, between v4 and v5 we expanded the answer to the question posed regarding the relaxation of isolated many-body quantum systems. The changes should all be found on the first page of the introduction.

Matthew Davis on 2020-11-21
Category:
remark

I have checked v5 - it appears to be the updated version. There was a problem at some stage with the SciPost page for v5 being broken - perhaps this was the origin of the issue.