Generalized Hydrodynamics: A Perspective

Doyon, Benjamin; Gopalakrishnan, Sarang; Møller, Frederik; Schmiedmayer, Jörg; Vasseur, Romain

doi:10.1103/PhysRevX.15.010501

Title: Generalized Hydrodynamics: A Perspective

Journal Article · 28 January 2025 · Physical Review. X

DOI: https://doi.org/10.1103/PhysRevX.15.010501 · OSTI ID:2507390

Doyon, Benjamin;

;

; Schmiedmayer, Jörg; Vasseur, Romain

Conventional hydrodynamics describes systems with few long-lived excitations. In one dimension, however, many experimentally relevant systems feature a large number of long-lived excitations and conserved quantities even at high temperature, because they are proximate to integrable limits. Such models cannot be treated using conventional hydrodynamics. The framework of generalized hydrodynamics (GHD) was recently developed to treat the dynamics of one-dimensional models: It combines ideas from integrability, hydrodynamics, and kinetic theory to come up with a quantitative theory of transport. GHD has successfully settled several long-standing questions about one-dimensional transport; it has also been leveraged to study dynamical questions beyond the transport of conserved quantities and to systems that are not integrable. In this article, we introduce the main ideas and predictions of GHD, survey some of the most recent theoretical extensions and experimental tests of the GHD framework, and discuss some open questions in transport that the GHD perspective might elucidate. Published by the American Physical Society 2025

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Research Organization:: University of Massachusetts, Amherst, MA (United States)

Sponsoring Organization:: Engineering and Physical Sciences Research Council (EPSRC); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704; SC0023999

OSTI ID:: 2507390

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Journal Issue: 1 Vol. 15; ISSN PRXHAE; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems Ye, Bingtian; Machado, Francisco; Kemp, Jack Physical Review Letters, Vol. 129, Issue 23 https://doi.org/10.1103/PhysRevLett.129.230602	journal	November 2022
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Transport and Entanglement across Integrable Impurities from Generalized Hydrodynamics Rylands, Colin; Calabrese, Pasquale Physical Review Letters, Vol. 131, Issue 15 https://doi.org/10.1103/PhysRevLett.131.156303	journal	October 2023
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Current operators in integrable spin chains: lessons from long range deformations Pozsgay, Balázs SciPost Physics, Vol. 8, Issue 2 https://doi.org/10.21468/SciPostPhys.8.2.016	journal	January 2020
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Collision rate ansatz for quantum integrable systems Yoshimura, Takato; Spohn, Herbert SciPost Physics, Vol. 9, Issue 3 https://doi.org/10.21468/SciPostPhys.9.3.040	journal	January 2020
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Diffusion from convection Medenjak, Marko; De Nardis, Jacopo; Yoshimura, Takato SciPost Physics, Vol. 9, Issue 5 https://doi.org/10.21468/SciPostPhys.9.5.075	journal	January 2020
Euler-scale dynamical correlations in integrable systems with fluid motion Møller, Frederik Skovbo; Perfetto, Gabriele; Doyon, Benjamin SciPost Physics Core, Vol. 3, Issue 2 https://doi.org/10.21468/SciPostPhysCore.3.2.016	journal	December 2020
Entanglement Rényi entropies from ballistic fluctuation theory: The free fermionic case del Vecchio del Vecchio, Giuseppe; Doyon, Benjamin; Ruggiero, Paola SciPost Physics Core, Vol. 7, Issue 1 https://doi.org/10.21468/SciPostPhysCore.7.1.005	journal	February 2024
Identifying diffusive length scales in one-dimensional Bose gases Møller, Frederik Skovbo; Cataldini, Federica; Schmiedmayer, Jörg SciPost Physics Core, Vol. 7, Issue 2 https://doi.org/10.21468/SciPostPhysCore.7.2.025	journal	May 2024
Lecture notes on Generalised Hydrodynamics Doyon, Benjamin SciPost Physics Lecture Notes https://doi.org/10.21468/SciPostPhysLectNotes.18	journal	August 2020

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