Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects

TL;DR

This paper introduces the Generalized Hydrodynamic approach to analyze inhomogeneous quenches in integrable quantum systems, providing exact results on correlations and entanglement, and discussing its scope and future directions.

Contribution

It offers a comprehensive pedagogical review of the GHD method applied to inhomogeneous quenches, highlighting new exact results and potential research avenues.

Findings

Exact results for time-dependent correlation functions

Exact results for entanglement evolution

Applicability range of the GHD theory

Abstract

We give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems: bipartitioning protocols and trap quenches, which represent two prototypical examples of broken translational symmetry in either the system initial state or post-quench Hamiltonian. We report on exact results that have been obtained for generic time-dependent correlation functions and entanglement evolution, and discuss in detail the range of applicability of the theory. Finally, we present some open questions and suggest perspectives on possible future directions.