Entanglement dynamics of a hard-core quantum gas during a Joule expansion

Filiberto Ares, Stefano Scopa, Sascha Wald

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We study the entanglement dynamics of a one-dimensional hard-core quantum gas initially confined in a box of size L with saturated density ρ = 1. The gas is suddenly released into a region of size 2L by moving one of the box edges. We show that the analytic prediction for the entanglement entropy obtained from quantum fluctuating hydrodynamics holds quantitatively true even after several reflections of the gas against the box edges. We further investigate the long time limit t/L ≫ 1 where a Floquet picture of the non-equilibrium dynamics emerges and hydrodynamics eventually breaks down.
Original languageEnglish
Article number375301
Number of pages24
JournalJournal of Physics A: Mathematical and Theoretical
Issue number37
Early online date19 Aug 2022
Publication statusPublished - 16 Sept 2022

Bibliographical note

This is the Accepted Manuscript version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/ac8209

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This document is the author’s post-print version, incorporating any revisions agreed during the peer-review process. Some differences between the published version and this version may remain and you are advised to consult the published version if you wish to cite from it.


Funding Information: FA and SS acknowledge support from ERC under Consolidator Grant No. 771536 (NEMO). The authors are thankful to Dragi Karevski, Pasquale Calabrese and Jérôme Dubail for useful discussions and insights on the manuscript. FA acknowledges Nina Javerzat for helpful comments on equation (). SS acknowledges LPCT (Nancy) for the warm hospitality during the early stage of this project. Publisher Copyright: © 2022 IOP Publishing Ltd.


  • General Physics and Astronomy
  • Mathematical Physics
  • Modeling and Simulation
  • Statistics and Probability
  • Statistical and Nonlinear Physics


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