A short introduction to Generalized Hydrodynamics

Abstract

These are notes based on lectures given at the 2021 summer school on Fundamental Problems in Statistical Physics XV. Their purpose is to give a very brief introduction to Generalized Hydrodynamics, which provides a description of the large scale structure of the dynamics in quantum integrable models. The notes are not meant to be comprehensive or provide an overview of all relevant literature, but rather give an exposition of the key ideas for non-experts, using a simple fermionic tight-binding model as the main example.

24 pages, 6 figures

References in corpus (5)

• Generalized Thermalization in an Integrable Lattice System
• Quantum quench in the sine-Gordon model
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Thermalization and light cones in a model with weak integrability breaking
• Algebraic construction of current operators in integrable spin chains

Cited by in corpus (22)

• Generalized hydrodynamics: a perspective
• Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain
• Symmetry Resolved Measures in Quantum Field Theory: a Short Review
• Large-scale universality in quantum reaction-diffusion from Keldysh field theory
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• Accuracy of time-dependent GGE under weak dissipation
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
• Spin Drude weight for the integrable XXZ chain with arbitrary spin
• Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
• Kinetics of Quantum Reaction-Diffusion systems
• Domain-wall melting and entanglement in free-fermion chains with a band structure
• Analytical solution of a free-fermion chain with time-dependent ramps
• Inhomogeneous quenches and GHD in the $\nu =1$ QSSEP model
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• Lax random matrices from Calogero systems
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Loop Charges and Fragmentation in Pairwise Difference Conserving Circuits
• Boundary-driven magnetization transport in the spin-$1/2$ XXZ chain: Role of the system-bath coupling strength and timescales