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Euler-scale dynamical correlations in integrable systems with fluid motion
by Frederik S. Møller, Gabriele Perfetto, Benjamin Doyon, Jörg Schmiedmayer
- Published as SciPost Phys. Core 3, 016 (2020)
|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|
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.  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. . We also observe the onset of the Euler-scale limit for the dynamical correlations.
Published as SciPost Phys. Core 3, 016 (2020)
Author comments upon resubmission
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.
List of changes
In the introduction section, we have expanded the discussion about the relaxation of isolated many-body quantum systems at long times.
Submission & Refereeing History
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