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

Fehér, Gyorgy; Pozsgay, Balázs

doi:10.21468/SciPostPhys.8.3.034

SciPost Physics

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

György Z. Fehér, Balázs Pozsgay

SciPost Phys. 8, 034 (2020) · published 3 March 2020

doi: 10.21468/SciPostPhys.8.3.034
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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 $SU(N)$, $N\ge 3$. 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.8.3.034
TI  - Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
PY  - 2020/03/03
UR  - https://scipost.org/SciPostPhys.8.3.034
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 8
IS  - 3
SP  - 034
A1  - Fehér, Gyorgy
AU  - Pozsgay, Balázs
AB  - 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 $SU(N)$, $N\ge 3$. 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.
ER  -

@Article{10.21468/SciPostPhys.8.3.034,
	title={{Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz}},
	author={György Z. Fehér and Balázs Pozsgay},
	journal={SciPost Phys.},
	volume={8},
	pages={034},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.8.3.034},
	url={https://scipost.org/10.21468/SciPostPhys.8.3.034},
}

Cited by 5

Ontology / Topics

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Bethe Ansatz Generalized Gibbs ensemble (GGE)

Authors / Affiliation: mappings to Contributors and Organizations

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¹ Gyorgy Fehér,
¹ Balázs Pozsgay

¹ Budapesti Műszaki és Gazdaságtudományi Egyetem / Budapest University of Technology and Economics [BUTE]

Funders for the research work leading to this publication

Emberi Eroforrások Minisztériuma (through Organization: Emberi Erőforrások Minisztérium / Ministry of Human Capacities [Emmi])
Magyar Tudományos Akadémia / Hungarian Academy of Sciences [MTA]
Nemzeti Kutatási, Fejlesztési és Innovációs Hivatal / National Research, Development and Innovation Office [NKFIH]