Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
Abstract
The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable lattice models solvable by the nested Bethe Ansatz, with group symmetry , . In these models the Bethe Ansatz involves various types of Bethe rapidities corresponding to the "nesting" procedure, describing the internal degrees of freedom for the excitations. We show that a complete set of charges for the GGE can be obtained from the known fusion hierarchy of transfer matrices. The resulting charges are quasi-local in a certain regime in rapidity space, and they completely fix the rapidity distributions of each string type from each nesting level.
Keywords
Cite
@article{arxiv.1909.04470,
title = {Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz},
author = {György Z. Fehér and Balázs Pozsgay},
journal= {arXiv preprint arXiv:1909.04470},
year = {2020}
}
Comments
47 pages, v2: arguments regarding the inversion of R-matrices modified, conlusions unaltered, v3: minor modifications in the Introduction