English

Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz

Statistical Mechanics 2020-03-04 v3 Exactly Solvable and Integrable Systems

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 SU(N)SU(N), N3N\ge 3. 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

R2 v1 2026-06-23T11:11:01.080Z