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Generalized hydrodynamics (GHD) was proposed recently as a formulation of hydrodynamics for integrable systems, taking into account infinitely-many conservation laws. In this note we further develop the theory in various directions. By…

统计力学 · 物理学 2017-05-24 Benjamin Doyon , Takato Yoshimura

Generalized hydrodynamics (GHD) is a large-scale theory for the dynamics of many-body integrable systems. It consists of an infinite set of conservation laws for quasi-particles traveling with effective ("dressed") velocities that depend on…

统计力学 · 物理学 2018-01-19 Benjamin Doyon , Herbert Spohn , Takato Yoshimura

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 even at high temperature, because they are…

Dynamical equations in generalized hydrodynamics (GHD), a hydrodynamic theory for integrable quantum systems at the Euler scale, take a rather simple form, even though an infinite number of conserved charges are taken into account. We show…

统计力学 · 物理学 2018-01-31 Benjamin Doyon , Takato Yoshimura , Jean-Sébastien Caux

One-dimensional integrable and quasi-integrable systems display, on macroscopic scales, a universal form of transport known as Generalized Hydrodynamics (GHD). In its standard Euler-scale formulation, GHD mirrors the equations of a…

统计力学 · 物理学 2026-01-23 Andrew Urilyon , Leonardo Biagetti , Jitendra Kethepalli , Jacopo De Nardis

"Generalized Hydrodynamics" (GHD) stands for a model that describes one-dimensional \textit{integrable} systems in quantum physics, such as ultra-cold atoms or spin chains. Mathematically, GHD corresponds to nonlinear equations of kinetic…

We establish the explicit correspondence between the theory of soliton gases in classical integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the hydrodynamic theory for many-body quantum and classical integrable…

斑图形成与孤子 · 物理学 2022-08-31 Thibault Bonnemain , Benjamin Doyon , Gennady A. El

We review recent progress in understanding nearly integrable models within the framework of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved quantities and stable quasiparticle excitations: when…

统计力学 · 物理学 2021-11-17 Alvise Bastianello , Andrea De Luca , Romain Vasseur

Generalised hydrodynamics (GHD) is a recent and powerful framework to study many-body integrable systems, quantum or classical, out of equilibrium. It has been applied to several models, from the delta Bose gas to the XXZ spin chain, the…

斑图形成与孤子 · 物理学 2025-03-05 Thibault Bonnemain , Benjamin Doyon

We provide a new hydrodynamic framework to describe out-of-equilibrium integrable systems with space-time inhomogeneous interactions. Our result builds up on the recently-introduced Generalized Hydrodynamics (GHD). The method allows to…

统计力学 · 物理学 2019-09-30 Alvise Bastianello , Vincenzo Alba , Jean Sébastien Caux

Physical systems made of many interacting quantum particles can often be described by Euler hydrodynamic equations in the limit of long wavelengths and low frequencies. Recently such a classical hydrodynamic framework, now dubbed…

量子气体 · 物理学 2020-04-10 Paola Ruggiero , Pasquale Calabrese , Benjamin Doyon , Jerome Dubail

Generalized Hydrodynamics (GHD) has recently been devised as a method to solve the dynamics of integrable quantum many-body systems beyond the mean-field approximation. In its original form, a major limitation is the inability to predict…

Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynamics, the Whitham averaging procedure and the theory of Frobenius manifolds. In 1+1 dimensions, the requirement of the integrability of such…

可精确求解与可积系统 · 物理学 2015-05-19 E. V. Ferapontov , A. V. Odesskii , N. M. Stoilov

The dynamics of strongly interacting many-body quantum systems are notoriously complex and difficult to simulate. A new theory, generalized hydrodynamics (GHD), promises to efficiently accomplish such simulations for nearly-integrable…

量子气体 · 物理学 2021-09-09 Neel Malvania , Yicheng Zhang , Yuan Le , Jerome Dubail , Marcos Rigol , David S. Weiss

This article reviews the recent developments in the theory of generalised hydrodynamics (GHD) with emphasis on the repulsive one-dimensional Bose gas. We discuss the implications of GHD on the mechanisms of thermalisation in integrable…

量子气体 · 物理学 2023-10-20 M. L. Kerr , K. V. Kheruntsyan

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

量子气体 · 物理学 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan

Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field…

统计力学 · 物理学 2020-01-22 Axel Cortés Cubero , Miłosz Panfil

Using generalized hydrodynamics (GHD), we develop the Euler hydrodynamics of classical integrable field theory. Classical field GHD is based on a known formalism for Gibbs ensembles of classical fields, that resembles the thermodynamic…

统计力学 · 物理学 2018-07-04 Alvise Bastianello , Benjamin Doyon , Gerard Watts , Takato Yoshimura

Integrable systems feature an infinite number of conserved charges and on hydrodynamic scales are described by generalised hydrodynamics (GHD). This description breaks down when the integrability is weakly broken and sufficiently large…

统计力学 · 物理学 2025-06-18 Maciej Łebek , Miłosz Panfil

The generalized hydrodynamic (GHD) approach has been extremely successful in describing the out-of-equilibrium properties of a great variety of integrable many-body quantum systems. It naturally extracts the large-scale dynamical degrees of…

高能物理 - 理论 · 物理学 2021-08-30 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Francesco Ravanini
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