The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
arXiv:2304.04910 · doi:10.1007/s43673-023-00095-2
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.
16 pages, 11 figures
References in corpus (30)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Experimental Observation of a Generalized Gibbs Ensemble
- Breakdown of thermalization in finite one-dimensional systems
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- Superdiffusion in spin chains
- Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid
- Spin waves in a one-dimensional spinor Bose gas
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Algebraic construction of current operators in integrable spin chains
- Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
- Current operators in integrable spin chains: lessons from long range deformations
- Introduction to the thermodynamic Bethe ansatz
- The collision rate ansatz for the classical Toda lattice
- Emergent Pauli blocking in a weakly interacting Bose gas
- Direct observation of hydrodynamization and local prethermalization
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
- Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
- Thermalization of interacting quasi-one-dimensional systems
- Adiabatic formation of bound states in the 1d Bose gas
- Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas
- Universal shock-wave propagation in one-dimensional Bose fluids
- Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
- Benchmarks of Generalized Hydrodynamics for 1D Bose Gases