[2307.09307] Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Statistical Mechanics arXiv:2307.09307 (cond-mat) [Submitted on 14 Jul 2023 ( v1 ), last revised 29 Apr 2026 (this version, v3)] Title: Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets Authors: Benjamin Doyon , Friedrich Hübner View a PDF of the paper titled Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets, by Benjamin Doyon and Friedrich H\"ubner View PDF HTML (experimental) Abstract: We present steps towards an ab initio derivation of generalised hydrodynamics in quantum integrable models, starting from the Bethe wave functions, and explained on the example of the repulsive Lieb-Liniger model. This includes an identification of the generalised hydrodynamics quasi-particles as wave packets in the quantum model. These wave packets evolve according to a classical particle model and collect two-particle scattering shifts similar to solitons in integrable PDEs. We then discuss potential routes to obtain the generalised hydrodynamics equation for average conserved densities in long-wavelength states from this description. As part of this, we provide an explicit formula for the action of the spectral phase-space density operator on Bethe wave functions, and show that it generates local conserved densities. Comments: 52 pages, 2 figures Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Quantum Gases (cond-mat.quant-gas); Mathematical Physics (math-ph) Cite as: arXiv:2307.09307 [cond-mat.stat-mech] (or arXiv:2307.09307v3 [cond-mat.stat-mech] for this version) https://doi.org/10.48550/arXiv.2307.09307 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Friedrich Hübner [ view email ] [v1] Fri, 14 Jul 2023 16:16:33 UTC (371 KB) [v2] Fri, 29 Aug 2025 18:09:30 UTC (336 KB) [v3] Wed, 29 Apr 2026 11:16:54 UTC (320 KB) Full-text links: Access Paper: View a PDF of the paper titled Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets, by Benjamin Doyon and Friedrich H\"ubner View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.stat-mech < prev | next > new | recent | 2023-07 Change to browse by: cond-mat cond-mat.quant-gas math math-ph math.MP References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from