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Fumihiko, Sugino
순수물리이론 연구단
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Novel quantum phases on graphs using abelian gauge theory

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dc.contributor.authorPramod Padmanabhan-
dc.contributor.authorFumihiko Sugino-
dc.date.accessioned2021-11-02T01:50:00Z-
dc.date.available2021-11-02T01:50:00Z-
dc.date.created2021-11-01-
dc.date.issued2021-10-
dc.identifier.issn1742-5468-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/10542-
dc.description.abstract© 2021 IOP Publishing Ltd and SISSA Medialab srl Graphs are topological spaces that include broader objects than discretized manifolds, making them interesting playgrounds for the study of quantum phases not realized by symmetry breaking. In particular they are known to support anyons of an even richer variety than the two-dimensional space. We explore this possibility by building a class of frustration-free and gapped Hamiltonians based on discrete abelian gauge groups. The resulting models have a ground state degeneracy that can be either a topological invariant, an extensive quantity or a mixture of the two. For two basis of the degenerate ground states which are complementary in quantum theory, the entanglement entropy (EE) is exactly computed. The result for one basis has a constant global term, known as the topological EE, implying long-range entanglement. On the other hand, the topological EE vanishes in the result for the other basis. Comparisons are made with similar occurrences in the toric code. We analyze excitations and identify anyon-like excitations that account for the topological EE. An analogy between the ground states of this system and the theta-vacuum for a U(1) gauge theory on a circle is also drawn.-
dc.language영어-
dc.publisherIOP Publishing Ltd-
dc.titleNovel quantum phases on graphs using abelian gauge theory-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000707213200001-
dc.identifier.scopusid2-s2.0-85118265485-
dc.identifier.rimsid76617-
dc.contributor.affiliatedAuthorFumihiko Sugino-
dc.identifier.doi10.1088/1742-5468/ac25f7-
dc.identifier.bibliographicCitationJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2021, no.10, pp.1 - 44-
dc.relation.isPartOfJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT-
dc.citation.titleJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT-
dc.citation.volume2021-
dc.citation.number10-
dc.citation.startPage1-
dc.citation.endPage44-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMechanics-
dc.relation.journalResearchAreaPhysics-
dc.relation.journalWebOfScienceCategoryMechanics-
dc.relation.journalWebOfScienceCategoryPhysics, Mathematical-
dc.subject.keywordPlusSTATISTICS-
dc.subject.keywordPlusPRESENTATIONS-
dc.subject.keywordPlusENTANGLEMENT-
dc.subject.keywordPlusANYONS-
dc.subject.keywordAuthortopological phases of matter-
dc.subject.keywordAuthorentanglement entropies-
dc.subject.keywordAuthorrigorous results in statistical mechanics-
dc.subject.keywordAuthorsolvable lattice models-
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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