Indicators of quantum phase transitions in the one-dimensional J1-J2 Heisenberg model: Global quantum discord and multipartite nonlocality analysis

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physics Letters A Pub Date : 2024-10-03 DOI:10.1016/j.physleta.2024.129955

Hongying Liu, Jia Bao, Haoran Yan, Bin Guo

{"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}

引用次数: 0

Abstract

We here investigate the ground state phase transitions of the one-dimensional

J_{1}

J_{2}

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

J_{2} / J_{1} = 0.5

. 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.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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

我们在此研究一维 J1-J2 海森堡模型的基态相变。通过分析基态的量子不和谐、全局量子不和谐（GQD）、双方非线性和多方非线性来描述相变的特征。我们的研究结果表明，这些相关性是 J2/J1=0.5 时相变点的有效指标。具体来说，量子不和谐和双向非位置性在小尺寸系统中表现出更明显的临界行为。相反，对于大尺度系统，GQD 和多方非位置性为检测多体驱动相变提供了更实用、更可靠的方法。此外，这些相关性之间还存在一些线性关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

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.