Free parafermions: a challenge for non-Hermitian physics

本项目旨在计算和理解自由parafermion的物理性质。在量子计算的拓扑方案中，仿费米子引起了人们的兴趣，因为它们在计算上比马约拉纳费米子更强大。该项目的核心是自由parafermion的基本模型，它已被证明具有无法解释的令人困惑的特性。该项目的成果包括通过考虑非厄米特特征，建立与开放量子系统的联系，深入了解该模型。非厄米系统在物理学，特别是量子光学中也越来越重要。该项目还旨在为培训数学科学研究人员做出贡献。

This project aims to calculate and understand the physical properties of free parafermions. Parafermions have attracted interest in topological schemes for quantum computation because they are computationally more powerful than Majorana fermions. The core of this project is a fundamental model of free parafermions, which has been shown to exhibit unexplained puzzling properties. The project outcomes include an in-depth understanding of this model by taking the non-Hermitian features into account, establishing a connection with open quantum systems. Non-Hermitian systems are also of increasing relevance in physics, especially in quantum optics. The project also aims to contribute to training researchers in the mathematical sciences.