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순수물리이론연구단
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Addendum: Area law violations and quantum phase transitions in modified Motzkin walk spin chains

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dc.contributor.authorFumihiko Sugino-
dc.contributor.authorPramod Padmanabhan-
dc.date.available2018-07-18T02:03:17Z-
dc.date.created2018-01-23-
dc.date.issued2018-05-
dc.identifier.issn1742-5468-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/4532-
dc.description.abstractArea law violations for entanglement entropy in the form of a square root has recently been studied for one-dimensional frustration-free quantum systems based on the Motzkin walks and their variations. Here we consider a Motzkin walk with a different Hilbert space on each step of the walk spanned by elements of a {\it Symmetric Inverse Semigroup} with the direction of each step governed by its algebraic structure. This change alters the number of paths allowed in the Motzkin walk and introduces a ground state degeneracy sensitive to boundary perturbations. We study the frustration-free spin chains based on three symmetric inverse semigroups, S-1(3), S-2(3), and S-1(2),The system based on S-1(3) and S-2(3) provide examples of quantum phase transitions in one dimensions with the former exhibiting a transition between the area law and a logarithmic violation of the area law and the latter providing an example of transition from logarithmic scaling to a square root scaling in the system size, mimicking a colored S-1(3) system. The system with S-1(2) is much simpler and produces states that continue to obey the area law. © 2018 The Author(s). Published by IOP Publishing Ltd on behalf of SISSA Medialab srl-
dc.language영어-
dc.publisherIOP PUBLISHING LTD-
dc.titleAddendum: Area law violations and quantum phase transitions in modified Motzkin walk spin chains-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000419318500001-
dc.identifier.scopusid2-s2.0-85041426217-
dc.identifier.rimsid61953ko
dc.date.tcdate2018-10-01-
dc.contributor.affiliatedAuthorFumihiko Sugino-
dc.identifier.doi10.1088/1742-5468/aa9dcb-
dc.identifier.bibliographicCitationJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2018, no.1, pp.013101-
dc.relation.isPartOfJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT-
dc.citation.titleJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT-
dc.citation.volume2018-
dc.citation.number1-
dc.citation.startPage013101-
dc.date.scptcdate2018-10-01-
dc.description.scptc0-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalWebOfScienceCategoryMechanics-
dc.relation.journalWebOfScienceCategoryPhysics, Mathematical-
dc.subject.keywordPlusAVERAGE ENTROPY-
dc.subject.keywordPlusGROUND-STATE-
dc.subject.keywordPlusENTANGLEMENT-
dc.subject.keywordPlusSUBSYSTEM-
dc.subject.keywordPlusCONJECTURE-
dc.subject.keywordPlusSYSTEMS-
dc.subject.keywordPlusMATTER-
dc.subject.keywordAuthorentanglement entropies-
dc.subject.keywordAuthorquantum phase transitions-
dc.subject.keywordAuthorspin chains-
dc.subject.keywordAuthorladders and planes-
dc.subject.keywordAuthorrigorous results in statistical mechanics-
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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