Localizing and Manipulating Exotic Quasiparticles in Quantum Hall Antidots

量子霍尔解毒剂中奇异准粒子的定位和操纵

• 批准号: 2104781
• 负责人: Xu Du
• 金额: $ 52.89万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-08-01 至 2024-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2104781&HistoricalAwards=false
• 关键词: Localizing; Manipulating; Exotic; Quasiparticles; Quantum

Nontechnical Abstract:In solid-state structures, quantum information can be stored and processed based on properties of quantum states. This project studies sub-micrometer diameter holes in two-dimensional atomic crystals, called "antidots", where the quantum states can have useful properties very different from those of electrons, including fractional charge and statistics. Such states potentially allow robust quantum information applications, and can be used to form artificial molecules. This project combines theoretical and experimental efforts to create and manipulate quantum states in antidot structures, and it could lead to the development of novel qubits. The technical aspects of this research combine material science, nanotechnology, electronics, cryogenics, theoretical condensed matter physics, and quantum information, and will provide students involved in the project with a unique opportunity to obtain experience in all these fields, and form the next generation of a “quantum-smart” workforce. The project also plans to develop an online, freely accessible software kit, “The World of Anyons”, to bring to the public an intuitive understanding of all aspects of the physics at the heart of this project. Technical Abstract:Two-dimensional (2D) electron systems host exotic quantum Hall (QH) states, including fractional QH states supporting abelian and non-abelian anyons, and excitonic states in double-layer QH systems. Being able to localize and manipulate quasiparticle excitations of these quantum states facilitates the study of the strongly interacting systems, and potentially leads to novel quantum devices which operate based on their non-trivial topological properties. This project studies the localization and manipulation of quantum Hall quasiparticles on QH antidots realized in graphene and its double-layers. In this approach, topologically protected QH edge modes are structured into discrete confining loops that localize the QH quasiparticles which carry the characteristics of the underlying incompressible QH liquid. This project explores: 1) robust localization of abelian anyons and understanding the decoherence and other basic physics elements of the individual QH antidots; 2) localization of non-abelian anyons and excitonic quasiparticles on individual antidots; 3) coupling of the antidots into the multi-antidot structures, and demonstration of anyon exchange and braiding in DC transport through a triple-antidot structure. The QH antidot approach to quantum gates is based on the adiabatic transfer of the individual topological excitations, which is the basis for the quasiparticle exchange statistics. This study advances the understanding of correlated electron systems and exchange/braiding properties of localized quasiparticles, and should provide direct insight into the stability of quantum coherence in topological braiding.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：在固态结构中，量子信息可以根据量子态的特性进行存储和处理，该项目研究二维原子晶体中的亚微米直径孔（称为“解点”），其中量子态可以发挥作用。与电子的性质非常不同，包括分数电荷和统计，这些状态可能允许强大的量子信息应用，并且可用于形成人造分子，以创建和操纵反点结构中的量子态。它可能会导致这项研究的技术方面结合了材料科学、纳米技术、电子学、低温学、理论凝聚态物理和量子信息，将为参与该项目的学生提供获得所有这些领域经验的独特机会。 ，并形成下一代“量子智能”劳动力。该项目还计划开发一个可免费访问的在线软件包“任意子世界”，让公众对物理学的各个方面有直观的了解。在心里该项目的技术摘要：二维 (2D) 电子系统具有奇异的量子霍尔 (QH) 态，包括支持阿贝尔和非阿贝尔任意子的分数 QH 态，以及双层 QH 系统中的激子态。并操纵这些量子态的准粒子激发有助于对强相互作用系统的研究，并有可能产生基于其非平凡拓扑特性运行的新型量子器件。该项目研究量子霍尔的定位和操纵。在石墨烯及其双层中实现的 QH 反点上的准粒子在这种方法中，拓扑保护的 QH 边缘模式被构造成离散的限制环，这些环路对 QH 准粒子进行局域化，该环具有底层不可压缩的 QH 液体的特性。阿贝尔任意子的稳健局域化并理解各个 QH 解点的退相干和其他基本物理元素 2) 局域化；单个解点上的非阿贝尔任意子和激子准粒子；3）将解点耦合到多解点结构中，并通过三解点结构演示直流输运中的任意子交换和编织。关于单个拓扑激发的绝热传递，这是准粒子交换统计的基础，这项研究增进了对相关电子系统和的理解。局域准粒子的交换/编织特性，并且应该可以直接洞察拓扑编织中量子相干性的稳定性。该奖项授予 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

Temperature-Dependent Periodicity of the Persistent Current in Strongly Interacting Systems

强相互作用系统中持续电流的温度依赖性周期性

• DOI: 10.1103/physrevlett.128.096801
• 发表时间: 2022-03
• 期刊: Physical Review Letters
• 影响因子: 8.6
• 作者: Pâţu, Ovidiu I.;Averin, Dmitri V.
• 通讯作者: Averin, Dmitri V.

Topological and Stacked Flat Bands in Bilayer Graphene with a Superlattice Potential

具有超晶格势的双层石墨烯中的拓扑和平带

• DOI: 10.1103/physrevlett.130.196201
• 发表时间: 2023-05
• 期刊: Physical Review Letters
• 影响因子: 8.6
• 作者: Ghorashi, Sayed Ali;Dunbrack, Aaron;Abouelkomsan, Ahmed;Sun, Jiacheng;Du, Xu;Cano, Jennifer
• 通讯作者: Cano, Jennifer