# Classical and Quantum Integrability

2-6 September 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

## Hydrodynamics for integrable systems

2 Sep 2019, 11:45
45m
Amphi Niepce ()

### Speaker

Benjamin Doyon (King's college London)

### Description

Hydrodynamics is a powerful framework for large-wavelength phenomena in many-body systems. It was extended recently to include integrable models, giving generalised hydrodynamics”. In this talk, I will review fundamental aspects of the hydrodynamic of integrable systems, with the simple examples of the quantum Lieb-Liniger and the classical Toda models. I will then show some of the exact results that can be obtained with this formalism, such as exact nonequilibrium steady states and exact asymptotic of correlation functions at large space-time separations in Gibbs and generalised Gibbs states

### Primary author

Benjamin Doyon (King's college London)