Constructing topological models by symmetrization: A projected entangled pair states study

Symmetrization of topologically ordered wave functions is a powerful method for constructing new topological models. Here we study wave functions obtained by symmetrizing quantum double models of a group G in the projected entangled pair states (PEPS) formalism. We show that symmetrization naturally...

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Detalhes bibliográficos
Autores: Fernández González, Carlos, Mong, R. S. K., Pérez García, David, Schuch, Norbert
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24687
Acesso em linha:https://hdl.handle.net/20.500.14352/24687
Access Level:acceso abierto
Palavra-chave:53
Física (Física)
22 Física
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spelling Constructing topological models by symmetrization: A projected entangled pair states studyFernández González, CarlosMong, R. S. K.Pérez García, DavidSchuch, Norbert53Física (Física)22 FísicaSymmetrization of topologically ordered wave functions is a powerful method for constructing new topological models. Here we study wave functions obtained by symmetrizing quantum double models of a group G in the projected entangled pair states (PEPS) formalism. We show that symmetrization naturally gives rise to a larger symmetry group G˜ which is always non-Abelian. We prove that by symmetrizing on sufficiently large blocks, one can always construct wave functions in the same phase as the double model of G˜. In order to understand the effect of symmetrization on smaller patches, we carry out numerical studies for the toric code model, where we find strong evidence that symmetrizing on individual spins gives rise to a critical model which is at the phase transitions of two inequivalent toric codes, obtained by anyon condensation from the double model of G˜.American Physical SocietyUniversidad Complutense de Madrid20162016-01-0120162016-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/24687reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/246872026-06-02T12:44:21Z
dc.title.none.fl_str_mv Constructing topological models by symmetrization: A projected entangled pair states study
title Constructing topological models by symmetrization: A projected entangled pair states study
spellingShingle Constructing topological models by symmetrization: A projected entangled pair states study
Fernández González, Carlos
53
Física (Física)
22 Física
title_short Constructing topological models by symmetrization: A projected entangled pair states study
title_full Constructing topological models by symmetrization: A projected entangled pair states study
title_fullStr Constructing topological models by symmetrization: A projected entangled pair states study
title_full_unstemmed Constructing topological models by symmetrization: A projected entangled pair states study
title_sort Constructing topological models by symmetrization: A projected entangled pair states study
dc.creator.none.fl_str_mv Fernández González, Carlos
Mong, R. S. K.
Pérez García, David
Schuch, Norbert
author Fernández González, Carlos
author_facet Fernández González, Carlos
Mong, R. S. K.
Pérez García, David
Schuch, Norbert
author_role author
author2 Mong, R. S. K.
Pérez García, David
Schuch, Norbert
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Física (Física)
22 Física
topic 53
Física (Física)
22 Física
description Symmetrization of topologically ordered wave functions is a powerful method for constructing new topological models. Here we study wave functions obtained by symmetrizing quantum double models of a group G in the projected entangled pair states (PEPS) formalism. We show that symmetrization naturally gives rise to a larger symmetry group G˜ which is always non-Abelian. We prove that by symmetrizing on sufficiently large blocks, one can always construct wave functions in the same phase as the double model of G˜. In order to understand the effect of symmetrization on smaller patches, we carry out numerical studies for the toric code model, where we find strong evidence that symmetrizing on individual spins gives rise to a critical model which is at the phase transitions of two inequivalent toric codes, obtained by anyon condensation from the double model of G˜.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
2016
2016-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/24687
url https://hdl.handle.net/20.500.14352/24687
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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