Towards the solution of an integrable spin chain

Detalhes bibliográficos
Autor(a) principal: Nepomechie, Rafael I.
Data de Publicação: 2019
Outros Autores: Pimenta, Rodrigo A., Retore, Ana L. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1751-8121/ab434d
http://hdl.handle.net/11449/199477
Resumo: Two branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues.
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spelling Towards the solution of an integrable spin chainBethe ansatzintegrable quantum spin chainsquantum groupTwo branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Physics Department University of Miami, PO Box 248046Institut Denis-Poisson CNRS UMR 7013 Université de Tours Université d'Orléans, Parc de GrammontCAPES Foundation Ministry of Education of BrazilInstituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369Instituto de Física Teórica UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IIInstituto de Física Teórica UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IIUniversity of MiamiUniversité d'OrléansMinistry of Education of BrazilUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Nepomechie, Rafael I.Pimenta, Rodrigo A.Retore, Ana L. [UNESP]2020-12-12T01:40:54Z2020-12-12T01:40:54Z2019-10-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1751-8121/ab434dJournal of Physics A: Mathematical and Theoretical, v. 52, n. 43, 2019.1751-81211751-8113http://hdl.handle.net/11449/19947710.1088/1751-8121/ab434d2-s2.0-85073151702Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics A: Mathematical and Theoreticalinfo:eu-repo/semantics/openAccess2021-10-23T07:07:28Zoai:repositorio.unesp.br:11449/199477Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:31:46.738623Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Towards the solution of an integrable spin chain
title Towards the solution of an integrable spin chain
spellingShingle Towards the solution of an integrable spin chain
Nepomechie, Rafael I.
Bethe ansatz
integrable quantum spin chains
quantum group
title_short Towards the solution of an integrable spin chain
title_full Towards the solution of an integrable spin chain
title_fullStr Towards the solution of an integrable spin chain
title_full_unstemmed Towards the solution of an integrable spin chain
title_sort Towards the solution of an integrable spin chain
author Nepomechie, Rafael I.
author_facet Nepomechie, Rafael I.
Pimenta, Rodrigo A.
Retore, Ana L. [UNESP]
author_role author
author2 Pimenta, Rodrigo A.
Retore, Ana L. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv University of Miami
Université d'Orléans
Ministry of Education of Brazil
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Nepomechie, Rafael I.
Pimenta, Rodrigo A.
Retore, Ana L. [UNESP]
dc.subject.por.fl_str_mv Bethe ansatz
integrable quantum spin chains
quantum group
topic Bethe ansatz
integrable quantum spin chains
quantum group
description Two branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-03
2020-12-12T01:40:54Z
2020-12-12T01:40:54Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1751-8121/ab434d
Journal of Physics A: Mathematical and Theoretical, v. 52, n. 43, 2019.
1751-8121
1751-8113
http://hdl.handle.net/11449/199477
10.1088/1751-8121/ab434d
2-s2.0-85073151702
url http://dx.doi.org/10.1088/1751-8121/ab434d
http://hdl.handle.net/11449/199477
identifier_str_mv Journal of Physics A: Mathematical and Theoretical, v. 52, n. 43, 2019.
1751-8121
1751-8113
10.1088/1751-8121/ab434d
2-s2.0-85073151702
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics A: Mathematical and Theoretical
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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