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 …
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 …
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 …
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 …
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 …
Conventional hydrodynamics describes systems with few long-lived excitations. In one dimension, however, many experimentally relevant systems feature a large number of long …
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 …
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 …
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 …