{"title":"On Hastings factorization for quantum many-body systems in the infinite volume setting","authors":"Ayumi Ukai","doi":"arxiv-2407.12324","DOIUrl":null,"url":null,"abstract":"We will give self-contained and detailed proofs of the (multidimensional)\nHastings factorization as well as a (1-dimensional) area law in a wider setup\nthan previous works. Especially, they are applicable to both quantum spin and\nfermion chains of infinite volume as special cases.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.12324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We will give self-contained and detailed proofs of the (multidimensional)
Hastings factorization as well as a (1-dimensional) area law in a wider setup
than previous works. Especially, they are applicable to both quantum spin and
fermion chains of infinite volume as special cases.
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