Year: 2021
Type: article
Abstract: We consider the current operators of one-dimensional integrable models. These operators describe the flow of the conserved charges of the models, and they play a central role in generalized hydrodynamics. We present key statements about the mean currents in finite volume and in the thermodynamic limit, and we review the various proofs of the exact formulas. We also present a few new results in this review. New contributions include a computation of the currents of the Heisenberg spin chains using the string hypothesis, and simplified formulas in the thermodynamic limit. We also discuss implications of our results for the asymptotic behavior of dynamical correlation functions.
Authors: Márton Borsi, Balázs Pozsgay, Levente Pristyák
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W3136659479