量子液体：新兴高阶量子理论与分形子

IF 14.3 1区物理与天体物理 Q1 PHYSICS, CONDENSED MATTER

Annual Review of Condensed Matter Physics Pub Date : 2024-09-17 DOI:10.1146/annurev-conmatphys-040721-023549

Yizhi You

{"title":"量子液体：新兴高阶量子理论与分形子","authors":"Yizhi You","doi":"10.1146/annurev-conmatphys-040721-023549","DOIUrl":null,"url":null,"abstract":"Fractons emerge from many-body systems, featuring subdimensional particles with restricted mobility. These particles have attracted interest for their roles across disciplines, including topological quantum codes, quantum field theory, emergent gravity, and quantum information. They display unique nonequilibrium behaviors such as nonergodicity and glassy dynamics. This review offers a structured overview of fracton phenomena, especially those of gapless fracton liquids, which enable collective modes similar to gauge fluctuations in Maxwell's electromagnetic framework, yet their phenomena are distinguished by a unique conservation law that restricts the mobility of individual charges and monopoles. We delve into the theoretical basis of three-dimensional (3D) fracton liquids, exploring emergent symmetric tensor gauge theories and their properties. We also discuss the material realization of fracton liquids in Yb-based pyrochlore lattices and other synthetic quantum matter platforms.","PeriodicalId":7925,"journal":{"name":"Annual Review of Condensed Matter Physics","volume":"33 1","pages":""},"PeriodicalIF":14.3000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum Liquids: Emergent Higher-Rank Gauge Theory and Fractons\",\"authors\":\"Yizhi You\",\"doi\":\"10.1146/annurev-conmatphys-040721-023549\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fractons emerge from many-body systems, featuring subdimensional particles with restricted mobility. These particles have attracted interest for their roles across disciplines, including topological quantum codes, quantum field theory, emergent gravity, and quantum information. They display unique nonequilibrium behaviors such as nonergodicity and glassy dynamics. This review offers a structured overview of fracton phenomena, especially those of gapless fracton liquids, which enable collective modes similar to gauge fluctuations in Maxwell's electromagnetic framework, yet their phenomena are distinguished by a unique conservation law that restricts the mobility of individual charges and monopoles. We delve into the theoretical basis of three-dimensional (3D) fracton liquids, exploring emergent symmetric tensor gauge theories and their properties. We also discuss the material realization of fracton liquids in Yb-based pyrochlore lattices and other synthetic quantum matter platforms.\",\"PeriodicalId\":7925,\"journal\":{\"name\":\"Annual Review of Condensed Matter Physics\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":14.3000,\"publicationDate\":\"2024-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annual Review of Condensed Matter Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1146/annurev-conmatphys-040721-023549\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annual Review of Condensed Matter Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1146/annurev-conmatphys-040721-023549","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}

引用次数: 0

摘要

分形子产生于多体系统，具有流动性受限的亚维粒子。这些粒子因其在拓扑量子密码、量子场论、新兴引力和量子信息等学科中的作用而备受关注。它们显示出独特的非平衡行为，如非极性和玻璃动力学。这篇综述对分形现象，尤其是无间隙分形液体的分形现象进行了结构性概述，无间隙分形液体可实现类似于麦克斯韦电磁框架中规波动的集体模式，但它们的现象又因限制单个电荷和单极子流动性的独特守恒定律而与众不同。我们深入研究了三维（3D）分形液体的理论基础，探索了新出现的对称张量规理论及其特性。我们还讨论了分形液体在镱基火绿晶格和其他合成量子物质平台中的物质实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Quantum Liquids: Emergent Higher-Rank Gauge Theory and Fractons

Fractons emerge from many-body systems, featuring subdimensional particles with restricted mobility. These particles have attracted interest for their roles across disciplines, including topological quantum codes, quantum field theory, emergent gravity, and quantum information. They display unique nonequilibrium behaviors such as nonergodicity and glassy dynamics. This review offers a structured overview of fracton phenomena, especially those of gapless fracton liquids, which enable collective modes similar to gauge fluctuations in Maxwell's electromagnetic framework, yet their phenomena are distinguished by a unique conservation law that restricts the mobility of individual charges and monopoles. We delve into the theoretical basis of three-dimensional (3D) fracton liquids, exploring emergent symmetric tensor gauge theories and their properties. We also discuss the material realization of fracton liquids in Yb-based pyrochlore lattices and other synthetic quantum matter platforms.

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

Annual Review of Condensed Matter Physics PHYSICS, CONDENSED MATTER-

CiteScore

47.40

自引率

0.90%

发文量

期刊介绍： Since its inception in 2010, the Annual Review of Condensed Matter Physics has been chronicling significant advancements in the field and its related subjects. By highlighting recent developments and offering critical evaluations, the journal actively contributes to the ongoing discourse in condensed matter physics. The latest volume of the journal has transitioned from gated access to open access, facilitated by Annual Reviews' Subscribe to Open initiative. Under this program, all articles are now published under a CC BY license, ensuring broader accessibility and dissemination of knowledge.