张量网络影响函数的相关函数:自旋玻色子模型案例

Haimi Nguyen, Nathan Ng, Lachlan P. Lindoy, Gunhee Park, Andrew J. Millis, Garnet Kin-Lic Chan, David R. Reichman
{"title":"张量网络影响函数的相关函数:自旋玻色子模型案例","authors":"Haimi Nguyen, Nathan Ng, Lachlan P. Lindoy, Gunhee Park, Andrew J. Millis, Garnet Kin-Lic Chan, David R. Reichman","doi":"10.1063/5.0224880","DOIUrl":null,"url":null,"abstract":"We investigate the application of matrix product state (MPS) representations of the influence functionals (IFs) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff–Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation, which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions.","PeriodicalId":501648,"journal":{"name":"The Journal of Chemical Physics","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Correlation functions from tensor network influence functionals: The case of the spin-boson model\",\"authors\":\"Haimi Nguyen, Nathan Ng, Lachlan P. Lindoy, Gunhee Park, Andrew J. Millis, Garnet Kin-Lic Chan, David R. Reichman\",\"doi\":\"10.1063/5.0224880\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the application of matrix product state (MPS) representations of the influence functionals (IFs) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff–Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation, which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions.\",\"PeriodicalId\":501648,\"journal\":{\"name\":\"The Journal of Chemical Physics\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Chemical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0224880\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Chemical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/5.0224880","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

我们研究了影响函数(IFs)的矩阵乘积状态(MPS)表示法在计算开放量子系统的实时平衡相关函数中的应用。我们特别关注无偏自旋玻色子模型,探索如何使用 IF-MPS 进行复杂时间传播,以及如何使用 IF-MPS 构建稳态相关函数。我们研究了三种不同的 IF 方法:一种基于 Kadanoff-Baym 等值线,以所有时间的相关函数为目标;一种基于复杂等值线,以单个时间的相关函数为目标;还有一种稳态表述,避免虚时间或复杂时间,同时提供所有时间的相关函数。我们表明,在 IF 语言中,稳态表述为评估平衡相关函数提供了一种强大的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Correlation functions from tensor network influence functionals: The case of the spin-boson model
We investigate the application of matrix product state (MPS) representations of the influence functionals (IFs) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff–Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation, which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信