Thouless Energy Across Many-Body Localization Transition in Floquet Systems.

M. Sonner, Maksym Serbyn, Z. Papi'c, D. Abanin
{"title":"Thouless Energy Across Many-Body Localization Transition in Floquet Systems.","authors":"M. Sonner, Maksym Serbyn, Z. Papi'c, D. Abanin","doi":"10.1103/PhysRevB.104.L081112","DOIUrl":null,"url":null,"abstract":"The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate the scaling of Thouless energy across the many-body localization (MBL) transition in a Floquet model. We use a combination of methods that are reliable on the ergodic side of the transition (e.g., spectral form factor) and methods that work on the MBL side (e.g. typical matrix elements of local operators) to obtain a complete picture of the Thouless energy behavior across the transition. On the ergodic side, the Thouless energy tends to a value independent of system size, while at the transition it becomes comparable to the level spacing. Different probes yield consistent estimates of the Thouless energy in their overlapping regime of applicability, giving the location of the transition point nearly free of finite-size drift. This work establishes a connection between different definitions of Thouless energy in a many-body setting, and yields new insights into the MBL transition in Floquet systems.","PeriodicalId":8438,"journal":{"name":"arXiv: Disordered Systems and Neural Networks","volume":"4 2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Disordered Systems and Neural Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/PhysRevB.104.L081112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8

Abstract

The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate the scaling of Thouless energy across the many-body localization (MBL) transition in a Floquet model. We use a combination of methods that are reliable on the ergodic side of the transition (e.g., spectral form factor) and methods that work on the MBL side (e.g. typical matrix elements of local operators) to obtain a complete picture of the Thouless energy behavior across the transition. On the ergodic side, the Thouless energy tends to a value independent of system size, while at the transition it becomes comparable to the level spacing. Different probes yield consistent estimates of the Thouless energy in their overlapping regime of applicability, giving the location of the transition point nearly free of finite-size drift. This work establishes a connection between different definitions of Thouless energy in a many-body setting, and yields new insights into the MBL transition in Floquet systems.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Floquet系统多体局部化转换中的无能量。
索利斯能量的概念在安德森局域化理论中起着核心作用。研究了Floquet模型中多体局部化(MBL)跃迁过程中Thouless能量的标度。我们结合了在跃迁的遍历侧可靠的方法(例如,频谱形式因子)和在MBL侧工作的方法(例如,局部算子的典型矩阵元素)来获得整个跃迁的Thouless能量行为的完整图像。在遍历侧,索利斯能量趋向于一个与系统大小无关的值,而在过渡时,它变得与能级间距相当。不同的探针在其重叠的适用范围内产生一致的索利斯能量估计,使过渡点的位置几乎不受有限大小漂移的影响。这项工作建立了多体环境中索利斯能量的不同定义之间的联系,并对Floquet系统中的MBL跃迁产生了新的见解。
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
自引率
0.00%
发文量
0
期刊最新文献
Multifractality and Fock-space localization in many-body localized states: One-particle density matrix perspective Thouless Energy Across Many-Body Localization Transition in Floquet Systems. Curvature-driven ac-assisted creep dynamics of magnetic domain walls Duality between two generalized Aubry-André models with exact mobility edges Relationship between two-level systems and quasi-localized normal modes in glasses
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1