Cet article de revue présente les résultats récents concernant la description des gaz de bosons unidimensionnels avec interactions de contact répulsives par une approche hydrodynamique généralisée. Les résultats obtenus par les auteurs sont plus particulièrement mis en avant.
This review article presents recent results concerning the description of one-dimensional Bose gases with repulsive contact interactions using a generalized hydrodynamics approach. The results obtained by the authors are particularly highlighted.
Révisé le :
Accepté le :
Publié le :
Keywords: Quantum gases, one-dimensional systems, statistical physics, N-body theory, hydrodynamics
Isabelle Bouchoule  1 ; Jérôme Dubail  2
CC-BY 4.0
Isabelle Bouchoule; Jérôme Dubail. Une approche hydrodynamique pour décrire les gaz de bosons unidimensionnels. Comptes Rendus. Physique, Volume 27 (2026), pp. 253-273. doi: 10.5802/crphys.282
@article{CRPHYS_2026__27_G1_253_0,
author = {Isabelle Bouchoule and J\'er\^ome Dubail},
title = {Une approche hydrodynamique pour d\'ecrire les gaz de bosons unidimensionnels},
journal = {Comptes Rendus. Physique},
pages = {253--273},
year = {2026},
publisher = {Acad\'emie des sciences, Paris},
volume = {27},
doi = {10.5802/crphys.282},
language = {fr},
}
TY - JOUR AU - Isabelle Bouchoule AU - Jérôme Dubail TI - Une approche hydrodynamique pour décrire les gaz de bosons unidimensionnels JO - Comptes Rendus. Physique PY - 2026 SP - 253 EP - 273 VL - 27 PB - Académie des sciences, Paris DO - 10.5802/crphys.282 LA - fr ID - CRPHYS_2026__27_G1_253_0 ER -
[1] Exact analysis of an interacting Bose gas. I. The general solution and the ground state, Phys. Rev., Volume 130 (1963) no. 4, pp. 1605-1616 | DOI | Zbl
[2] Exact analysis of an interacting Bose gas. II. The excitation spectrum, Phys. Rev., Volume 130 (1963) no. 4, pp. 1616-1624 | DOI | Zbl
[3] Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction, J. Math. Phys., Volume 10 (1969) no. 7, pp. 1115-1122 | DOI | Zbl
[4] The Bethe wavefunction, Cambridge University Press, 2014 | DOI
[5] Quantum inverse scattering method and correlation functions, Cambridge Monographs on Mathematical Physics, 3, Cambridge University Press, 1997
[6] Observation of reduced three-body recombination in a correlated 1D degenerate Bose gas, Phys. Rev. Lett., Volume 92 (2004) no. 19, 190401, 4 pages
[7] Tonks–Girardeau gas of ultracold atoms in an optical lattice, Nature, Volume 429 (2004) no. 6989, pp. 277-281 | DOI
[8] Observation of a one-dimensional Tonks–Girardeau gas, Science, Volume 305 (2004) no. 5687, pp. 1125-1128 | DOI
[9] Realization of an excited, strongly correlated quantum gas phase, Science, Volume 325 (2009) no. 5945, pp. 1224-1227 | DOI
[10] Generalized hydrodynamics in the one-dimensional Bose gas : theory and experiments, J. Stat. Mech. Theory Exp., Volume 2022 (2022) no. 1, 014003, 91 pages | Zbl
[11] Beyond the Tonks–Girardeau Gas : Strongly Correlated Regime in Quasi-One-Dimensional Bose Gases, Phys. Rev. Lett., Volume 95 (2005) no. 19, 190407, 4 pages | DOI
[12] Evidence for the super Tonks–Girardeau gas, J. Stat. Mech. Theory Exp., Volume 2005 (2005) no. 10, L10001, 9 pages | DOI | Zbl | MR
[13] Adiabatic formation of bound states in the one-dimensional Bose gas, Phys. Rev. B, Volume 103 (2021) no. 16, 165121, 12 pages
[14] Generalized hydrodynamics of the attractive non-linear Schrödinger equation, J. Phys. A. Math. Theor., Volume 55 (2022) no. 13, 134001, 32 pages | Zbl | MR
[15] Phantom energy in the nonlinear response of a quantum many-body scar state, Science, Volume 385 (2024) no. 6713, pp. 1063-1067 | DOI | Zbl | MR
[16] Observing Bethe strings in an attractive Bose gas far from equilibrium (2025) | arXiv
[17] Quench dynamics and relaxation in isolated integrable quantum spin chains, J. Stat. Mech. Theory Exp., Volume 2016 (2016) no. 6, 064002, 69 pages | Zbl | MR
[18] Generalized Gibbs ensemble in integrable lattice models, J. Stat. Mech. Theory Exp., Volume 2016 (2016) no. 6, 064007, 48 pages | Zbl | MR
[19] Zur Theorie der Metalle : I. Eigenwerte und Eigenfunktionen der linearen Atomkette, Z. Phys., Volume 71 (1931) no. 3, pp. 205-226 | Zbl
[20] Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps, Phys. Rev. Lett., Volume 114 (2015) no. 12, 125302, 6 pages | DOI
[21] Quasilocal charges and the generalized Gibbs ensemble in the Lieb–Liniger model, Phys. Rev. E, Volume 98 (2018) no. 5, 052126, 16 pages | DOI
[22] Generalized Thermalization in an Integrable Lattice System, Phys. Rev. Lett., Volume 106 (2011) no. 14, 140405, 4 pages | DOI
[23] Lecture notes on generalised hydrodynamics, SciPost Physics Lecture Notes, 18, SciPost, 2020
[24] A more efficient way to describe interacting quantum particles in 1D, Physics, Volume 9 (2016), 153, 2 pages
[25] Probing the local rapidity distribution of a one-dimensional Bose gas, Phys. Rev. Lett., Volume 133 (2024) no. 11, 113402, 7 pages | DOI
[26] Emergent hydrodynamics in integrable quantum systems out of equilibrium, Phys. Rev. X, Volume 6 (2016) no. 4, 041065, 17 pages
[27] Transport in out-of-equilibrium XXZ chains : exact profiles of charges and currents, Phys. Rev. Lett., Volume 117 (2016) no. 20, 207201, 8 pages
[28] Finite-temperature transport in one-dimensional quantum lattice models, Rev. Mod. Phys., Volume 93 (2021) no. 2, 025003, 71 pages | MR
[29] Wigner time delay and related concepts : Application to transport in coherent conductors, Physica E, Volume 82 (2016), pp. 16-33 | DOI
[30] Equilibrium state of a classical fluid of hard rods in an external field, J. Stat. Phys., Volume 15 (1976), pp. 505-511 | DOI | MR
[31] One-dimensional hard rod caricature of hydrodynamics, J. Stat. Phys., Volume 31 (1983), pp. 577-616 | DOI | MR
[32] Large scale dynamics of interacting particles, Springer, 2012
[33] Strongly interacting trapped one-dimensional quantum gases : Exact solution, AVS Quantum Sci., Volume 4 (2022) no. 2, 027102
[34] Exact coherent states of a harmonically confined Tonks–Girardeau gas, Phys. Rev. Lett., Volume 94 (2005) no. 24, 240404, 4 pages | DOI
[35] Observation of dynamical fermionization, Science, Volume 367 (2020) no. 6485, pp. 1461-1464 | DOI
[36] Split Fermi seas in one-dimensional Bose fluids, Phys. Rev. A, Volume 89 (2014) no. 3, 033637, 10 pages | DOI
[37] General finite-size effects for zero-entropy states in one-dimensional quantum integrable models, J. Phys. A. Math. Theor., Volume 49 (2016) no. 49, 495203, 14 pages | MR
[38] A note on generalized hydrodynamics : inhomogeneous fields and other concepts, SciPost Phys., Volume 2 (2017) no. 2, 014, 27 pages
[39] Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup, SciPost Phys., Volume 6 (2019) no. 6, 070, 29 pages | MR
[40] Large-scale description of interacting one-dimensional Bose gases : Generalized hydrodynamics supersedes conventional hydrodynamics, Phys. Rev. Lett., Volume 119 (2017) no. 19, 195301, 7 pages
[41] The Whitham approach to the limit of the Lieb–Liniger model and generalized hydrodynamics, J. Phys. A. Math. Theor., Volume 53 (2020) no. 20, 205204, 35 pages | MR
[42] Gurevich–Pitaevskii problem and its development, Physics-Uspekhi, Volume 64 (2021) no. 1, pp. 48-82 | DOI
[43] Nonlinear periodic waves and their modulations : an introductory course, World Scientific, 2000 | DOI | MR
[44] Linear and nonlinear waves, John Wiley & Sons, 2011 | MR
[45] Whitham approach to Generalized Hydrodynamics, Phys. Rev. Res., Volume 6 (2024) no. 1, 013328, 15 pages
[46] Generalized Hydrodynamics on an Atom Chip, Phys. Rev. Lett., Volume 122 (2019) no. 9, 090601, 7 pages | DOI
[47] Generalized hydrodynamics in strongly interacting 1D Bose g ases, Science, Volume 373 (2021) no. 6559, pp. 1129-1133 | DOI | MR
[48] Diffusion in generalized hydrodynamics and quasiparticle scattering, SciPost Phys., Volume 6 (2019) no. 4, 049, 73 pages | MR
[49] Hydrodynamic diffusion in integrable systems, Phys. Rev. Lett., Volume 121 (2018) no. 16, 160603, 7 pages | MR
[50] Diffusion from convection, SciPost Phys., Volume 9 (2020) no. 5, 075, 24 pages | MR
[51] Identifying diffusive length scales in one-dimensional Bose gases, SciPost Phys. Core, Volume 7 (2024) no. 2, 025, 21 pages
[52] Hydrodynamic noise in one dimension : projected Kubo formula and its vanishing in integrable models (2025) | arXiv
[53] Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas, SciPost Phys., Volume 9 (2020) no. 1, 002, 37 pages | MR | DOI
[54] Soliton refraction by an optical soliton gas, Phys. Rev. Res., Volume 5 (2023) no. 4, L042002, 6 pages
[55] Kinetic Equation for a Dense Soliton Gas, Phys. Rev. Lett., Volume 95 (2005) no. 20, 204101, 4 pages | DOI
[56] Observation of a generalized Gibbs ensemble in photonics (2025) | arXiv
Cité par Sources :
Commentaires - Politique
