Exotic Phases and Their Interfaces in Correlated Many-Particle Systems

相关多粒子系统中的奇异相及其界面

• 批准号: 1932796
• 负责人: Kun Yang
• 金额: $ 34.33万
• 依托单位: Florida State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-12-01 至 2023-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1932796&HistoricalAwards=false
• 关键词: Exotic; Phases; Their; Interfaces; Correlated

NONTECHNICAL SUMMARYThis award supports theoretical research and education on exotic properties of many-particle systems with strong interactions. It is known that strong interactions between particles can stabilize various phases of matter that can be very different from those familiar from daily life, like solid, liquid and gas. Understanding such phases is an important goal of condensed matter physics, which may pave the way to technological applications like quantum computation. The PI and his team will study how to reveal the properties of some new phases by probing the interfaces that separate them. Theoretical results are expected to help guide associated experiments and simulations. The research may also be of interest to other fields of physics, including high-energy and gravitational physics.The research activities supported by this award will introduce graduate students to the frontier of condensed matter physics. Recently the PI has published a new graduate level condensed matter textbook, that reflects the transformative developments of this field in the last few decades. He will continue his work in this direction, including working out a solutions manual for its homework problems. Such work will further facilitate education of students in this field.TECHNICAL SUMMARYThis award supports theoretical research on exotic quantum phases of many-particle systems with strong interactions. Some of these phases are of topological nature. A main focus of this project is to investigate physical properties of interfaces separating different topological phases, and their relationship to the topological properties of the individual phases. Examples include interfaces between Abelian and non-Abelian quantum Hall phases, and between different non-Abelian phases at the same filling factor but with different topological order. The PI and his team will study both the static and dynamical properties of such interfaces, and the possibility of phase transitions triggered by quantum fluctuations at the interfaces. Another focus of this project is to characterize typical and atypical excited states using concepts from quantum information theory, including entanglement and Kolmogorov complexity. The goal here is to gain deeper understanding of thermalization in isolated quantum systems. A third focus of the project is to understand supersolidity in quasi-one-dimensional systems, using the coupled-wire approach.The PI and his team will use a combination of theoretical and numerical tools in their studies, including mean-field theory, renormalization group, bosonization, and exact diagonalization. They will also attempt to borrow insights and methodology from other fields, including string theory and black hole physics, in which related issues have been studied extensively. These will provide valuable training opportunities for graduate students, as well as stimulating synergy among different fields.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

非技术摘要该奖项支持有关具有强相互作用的多粒子系统的奇异特性的理论研究和教育。众所周知，粒子之间的强相互作用可以稳定物质的各种相，这些相可能与日常生活中熟悉的固体、液体和气体等非常不同。理解这些相是凝聚态物理的一个重要目标，这可能为量子计算等技术应用铺平道路。 PI 和他的团队将研究如何通过探测分隔新相的界面来揭示一些新相的特性。理论结果预计将有助于指导相关的实验和模拟。这项研究也可能引起其他物理学领域的兴趣，包括高能和引力物理学。该奖项支持的研究活动将向研究生介绍凝聚态物理学的前沿。最近，PI 出版了一本新的研究生水平凝聚态教科书，反映了该领域在过去几十年中的变革性发展。他将继续朝这个方向努力，包括为其作业问题制定解决手册。此类工作将进一步促进该领域学生的教育。技术摘要该奖项支持对具有强相互作用的多粒子系统的奇异量子相的理论研究。其中一些相具有拓扑性质。该项目的主要重点是研究分隔不同拓扑相的界面的物理性质，以及它们与各个相的拓扑性质的关系。例子包括阿贝尔和非阿贝尔量子霍尔相之间的界面，以及具有相同填充因子但具有不同拓扑顺序的不同非阿贝尔相之间的界面。首席研究员和他的团队将研究此类界面的静态和动态特性，以及界面处量子涨落触发相变的可能性。该项目的另一个重点是使用量子信息论中的概念来表征典型和非典型激发态，包括纠缠和柯尔莫哥洛夫复杂性。这里的目标是更深入地了解孤立量子系统中的热化。该项目的第三个重点是使用耦合线方法了解准一维系统中的超固体。PI 和他的团队将在研究中结合使用理论和数值工具，包括平均场理论、重正化群、玻色子化和精确对角化。 他们还将尝试借鉴其他领域的见解和方法，包括弦理论和黑洞物理学，这些领域的相关问题已经得到了广泛的研究。这些将为研究生提供宝贵的培训机会，并激发不同领域之间的协同作用。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Breakdown of quantum-classical correspondence and dynamical generation of entanglement

• DOI: 10.1103/physrevb.104.174302
• 发表时间: 2021-04
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: C. Tian;Kun Yang

Critical temperature Tc and Pauli limited critical field of Sr2RuO4 : Uniaxial strain dependence

Sr2RuO4 的临界温度 Tc 和泡利极限临界场：单轴应变依赖性

• DOI: 10.1103/physrevb.102.014509
• 发表时间: 2020
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Yu, Yue;Brown, Stuart;Raghu, S.;Yang, Kun
• 通讯作者: Yang, Kun

Realization of Supersymmetry and Its Spontaneous Breaking in Quantum Hall Edges

量子霍尔边缘超对称性的实现及其自发破缺

• DOI: 10.1103/physrevlett.126.206801
• 发表时间: 2021
• 期刊: Physical Review Letters
• 影响因子: 8.6
• 作者: Ma, Ken K. W.;Wang, Ruojun;Yang, Kun
• 通讯作者: Yang, Kun

Phase-space quantum mechanics as a Landau-level problem

作为朗道级问题的相空间量子力学

• DOI: 10.1103/physreva.102.012222
• 发表时间: 2020
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Yang, Kun

Simple analog of the black-hole information paradox in quantum Hall interfaces

• DOI: 10.1103/physrevb.105.045306
• 发表时间: 2021-06
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: K. Ma;Kun Yang