Generalized hydrodynamics in the one-dimensional Bose gas: theory and experiments

I Bouchoule, J Dubail - Journal of Statistical Mechanics: Theory …, 2022 - iopscience.iop.org
We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

Correlation functions and transport coefficients in generalised hydrodynamics

J De Nardis, B Doyon, M Medenjak… - Journal of Statistical …, 2022 - iopscience.iop.org
We review the recent advances on exact results for dynamical correlation functions at large
scales and related transport coefficients in interacting integrable models. We discuss Drude …

Generalized hydrodynamics of the KdV soliton gas

T Bonnemain, B Doyon, G El - Journal of Physics A: Mathematical …, 2022 - iopscience.iop.org
We establish the explicit correspondence between the theory of soliton gases in classical
integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the …

Ballistic macroscopic fluctuation theory

B Doyon, G Perfetto, T Sasamoto, T Yoshimura - SciPost Physics, 2023 - scipost.org
We introduce a new universal framework describing fluctuations and correlations in
quantum and classical many-body systems, at the Euler hydrodynamic scale of space and …

Soliton gas: Theory, numerics, and experiments

P Suret, S Randoux, A Gelash, D Agafontsev, B Doyon… - Physical Review E, 2024 - APS
The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …

Fragmentation and emergent integrable transport in the weakly tilted Ising chain

A Bastianello, U Borla, S Moroz - Physical Review Letters, 2022 - APS
We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak
transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented …

Generalized hydrodynamics: a perspective

B Doyon, S Gopalakrishnan, F Møller… - arXiv preprint arXiv …, 2023 - arxiv.org
Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

Generalized hydrodynamics of the attractive non-linear Schrӧdinger equation

R Koch, JS Caux, A Bastianello - Journal of Physics A …, 2022 - iopscience.iop.org
We study the generalized hydrodynamics of the one-dimensional classical non linear
Schrӧdinger equation in the attractive phase. We thereby show that the thermodynamic limit …

The dissipative Generalized Hydrodynamic equations and their numerical solution

F Møller, N Besse, IE Mazets, HP Stimming… - Journal of …, 2023 - Elsevier
Abstract “Generalized Hydrodynamics”(GHD) stands for a model that describes one-
dimensional integrable systems in quantum physics, such as ultra-cold atoms or spin chains …

Hydrodynamic scales of integrable many-particle systems

H Spohn - arXiv preprint arXiv:2301.08504, 2023 - arxiv.org
The lecture notes cover the emergence of generalized hydrodynamics for the classical and
quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the …