The theory of generalised hydrodynamics for the one-dimensional Bose gas

Abstract

Abstract 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 quantum many-body systems as well as its ability to describe far-from-equilibrium behaviour of integrable and near-integrable systems in a variety of quantum quench scenarios. We outline the experimental tests of GHD in cold-atom gases and its benchmarks with other microscopic theoretical approaches. Finally, we offer some perspectives on the future direction of the development of GHD.

Keywords

• Quantum many-body dynamics
• Integrable systems
• Generalised hydrodynamics
• Ultracold quantum gases
• Lieb-Liniger model