{"title":"一维 J1-J2 海森堡模型中的量子相变指标：全局量子不和谐与多方非时态分析","authors":"Hongying Liu, Jia Bao, Haoran Yan, Bin Guo","doi":"10.1016/j.physleta.2024.129955","DOIUrl":null,"url":null,"abstract":"<div><div>We here investigate the ground state phase transitions of the one-dimensional <span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-<span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> Heisenberg model. The phase transition is characterized by analyzing the quantum discord, global quantum discord (GQD), bipartite nonlocality, and multipartite nonlocality of the ground state. Our findings reveal that these correlations serve as effective indicators of the phase transition point at <span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>/</mo><msub><mrow><mi>J</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>=</mo><mn>0.5</mn></math></span>. Specifically, quantum discord and bipartite nonlocality display more pronounced critical behavior in small-sized systems. Conversely, for large-scale systems, GQD and multipartite nonlocality offer a more practical and reliable method for detecting many-body driven phase transitions. Additionally, several linear relationships among these correlations are identified.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"526 ","pages":"Article 129955"},"PeriodicalIF":2.3000,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Indicators of quantum phase transitions in the one-dimensional J1-J2 Heisenberg model: Global quantum discord and multipartite nonlocality analysis\",\"authors\":\"Hongying Liu, Jia Bao, Haoran Yan, Bin Guo\",\"doi\":\"10.1016/j.physleta.2024.129955\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We here investigate the ground state phase transitions of the one-dimensional <span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-<span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> Heisenberg model. The phase transition is characterized by analyzing the quantum discord, global quantum discord (GQD), bipartite nonlocality, and multipartite nonlocality of the ground state. Our findings reveal that these correlations serve as effective indicators of the phase transition point at <span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>/</mo><msub><mrow><mi>J</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>=</mo><mn>0.5</mn></math></span>. Specifically, quantum discord and bipartite nonlocality display more pronounced critical behavior in small-sized systems. Conversely, for large-scale systems, GQD and multipartite nonlocality offer a more practical and reliable method for detecting many-body driven phase transitions. Additionally, several linear relationships among these correlations are identified.</div></div>\",\"PeriodicalId\":20172,\"journal\":{\"name\":\"Physics Letters A\",\"volume\":\"526 \",\"pages\":\"Article 129955\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-10-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0375960124006492\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960124006492","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Indicators of quantum phase transitions in the one-dimensional J1-J2 Heisenberg model: Global quantum discord and multipartite nonlocality analysis
We here investigate the ground state phase transitions of the one-dimensional - Heisenberg model. The phase transition is characterized by analyzing the quantum discord, global quantum discord (GQD), bipartite nonlocality, and multipartite nonlocality of the ground state. Our findings reveal that these correlations serve as effective indicators of the phase transition point at . Specifically, quantum discord and bipartite nonlocality display more pronounced critical behavior in small-sized systems. Conversely, for large-scale systems, GQD and multipartite nonlocality offer a more practical and reliable method for detecting many-body driven phase transitions. Additionally, several linear relationships among these correlations are identified.
期刊介绍：
Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
