Engineering the Coherency of Fractional and Non-Abelian Electronic Interferometers

分数和非阿贝尔激发的干涉测量是有趣和相关的，因为它可以揭示分数统计相位的非局部物理，并可能形成拓扑量子计算的基础。虽然有电子干涉的漂亮例子，但到目前为止，建立任意干涉测量法的实验努力还没有成功。这导致许多人都有这样的感觉，即在我们对任何干涉测量法的描述中，以及在我们检测分数（阿贝尔和非阿贝尔）统计量的努力中，我们遗漏了一些基本成分。理解在分数量子霍尔体系中缺乏干涉模式的实验观察是这个项目背后的主要动机。不过，我们应该注意到，我们的目标不仅仅是解释这种实验性的僵局。与电子干扰相比，我们计划提供一个关于阻碍任意子（阿贝尔和非阿贝尔）干涉的物理成分的深入理论。我们将特别努力强调奇异中性模式的作用，直到最近，它们都是相当难以捉摸的，现在似乎在分数量子霍尔边缘中无处不在。最后，我们将提出工程设置，其中干扰阻碍因素可以被分解。这个项目的成功实施将使我们更好地理解任何干涉测量所涉及的微妙物理，以及为什么它与电子（当然还有其他类型）干涉测量如此不同。我们的研究可能为实验方案铺平道路，允许观察这种干涉模式。预计这将通过精心设计的设置和控制的协议进行。预计将对量子计算电路的基本问题和实际应用提出新的见解。

Interferometry with fractional and non-Abelian excitations is interesting and relevant because it can reveal the non-local physics of fractional statistical phases and can potentially form the basis for topological quantum computing. While there are beautiful examples for the interference of electrons, so far, experimental efforts at establishing anyonic interferometry were not successful. This leads to the feeling, shared by many, that in our description of anyon interferometry, and in our effort to detect fractional (Abelian and non-Abelian) statistics, we are missing some essential ingredients. Understanding the lack of experimental observation of interference patterns in the fractional quantum Hall regime is the main motivation behind this project. One should note, though, that our goals go beyond explaining this experimental stalemate. We plan to provide an in-depth theory as to the physical ingredients that hinder interference of anyons (Abelian and non-Abelian), as compared with electron interference. We will make a special effort to highlight the role of the exotic neutral modes that were, until recently, quite evasive, and now seem to be ubiquitous in the fractional quantum Hall edges. Finally, we will come up with engineered setups, in which the interference-impeding elements could be factored out.Successful execution of this project will provide us with a better understanding of the subtle physics involved in anyonic interferometry, and why it is so different from electronic (and certainly other types of) interferometry. Our study may pave the way to experimental protocols that allow for the observation of such interference patterns. This is anticipated to take place with carefully engineered setups and controlled protocols. Novel insight on fundamental questions and practical applications for the construction of quantum computing circuits is expected.