{"title":"Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model","authors":"Yichen Huang, Yi Tan, Norman Y. Yao","doi":"arxiv-2409.07043","DOIUrl":null,"url":null,"abstract":"We consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We\nprove that for subsystems whose size is a constant fraction of the system size,\nthe entanglement entropy deviates from the maximum entropy by at least a\npositive constant. This result highlights the difference between the\nentanglement entropy of mid-spectrum eigenstates of the SYK model and that of\nrandom states.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"419 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07043","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 consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We
prove that for subsystems whose size is a constant fraction of the system size,
the entanglement entropy deviates from the maximum entropy by at least a
positive constant. This result highlights the difference between the
entanglement entropy of mid-spectrum eigenstates of the SYK model and that of
random states.
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