Strong edge zero modes in integrable and non-integrable models and their relation to long coherence times of edge spins

可积和不可积模型中的强边缘零模式及其与边缘自旋长相干时间的关系

• 批准号: 1963205
• 金额: --
• 依托单位: University of Oxford
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2015
• 资助国家: 英国
• 起止时间: 2015 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1963205
• 关键词: Strong; edge; zero; modes; integrable

This project aims to research topological phases of matter with eventual view to application in topological quantum computing. In particular, it will examine the topological 'edge zero' modes of 1D Majorana fermion and parafermion chains, and whether the degeneracy of the entire eigenstate spectrum they induce is broken when interactions or disorder are added to system. It will investigate the relationship between this degeneracy and many-body localisation, which provides another example of an eigenstate phase transition. In particular, I am focussing on 'strong edge zero' modes in Majorana fermion and parafermion chains, and whether they can survive in interacting, non-integrable systems, such as when four fermion interaction terms are included in the Hamiltonian. I am investigating this both by explicit (computer-aided) analytical calculation of the strong zero modes in perturbation theory, and by numerical investigation of the specific Hamiltonians involved. The project falls under the EPSRC research area 'Condensed matter: electronic structure', although it also has significant overlap with 'Condensed matter: magnetism and magnetic materials', both in the 'Physical Sciences' theme.

本项目旨在研究物质的拓扑相，并最终应用于拓扑量子计算。特别是，它将检查一维马约拉纳费米子和对偶费米子链的拓扑“边零”模式，以及当相互作用或无序添加到系统中时，它们诱导的整个本征态谱的简并是否被打破。它将研究这种简并和多体局部化之间的关系，多体局部化提供了另一个本征态相变的例子。特别是，我专注于马约拉纳费米子和对偶费米子链中的“强边零”模式，以及它们是否可以在相互作用的不可积系统中生存，例如当哈密顿量中包含四个费米子相互作用项时。我通过对微扰理论中强零模态的显式（计算机辅助）分析计算和对所涉及的特定哈密顿量的数值研究来研究这个问题。该项目属于EPSRC研究领域“凝聚态物质：电子结构”，尽管它也与“凝聚态物质：磁性和磁性材料”有很大的重叠，都属于“物理科学”主题。

项目成果

Prethermal strong zero modes and topological qubits

• DOI: 10.1103/physrevx.7.041062
• 发表时间: 2017-04
• 期刊: Physical Review X
• 影响因子: 12.5
• 作者: D. Else;P. Fendley;Jack Kemp;C. Nayak

Long coherence times for edge spins

• DOI: 10.1088/1742-5468/aa73f0
• 发表时间: 2017-06-01
• 期刊: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
• 影响因子: 2.4
• 作者: Kemp, Jack;Yao, Norman Y.;Fendley, Paul
• 通讯作者: Fendley, Paul