Quantum Transport in Electron Waveguides

在这个项目中，我们研究了可以在LAO/STO氧化物异质结构界面上实现的介观结构中的量子输运现象。我们的目标是进一步发展和利用理论技术来探索这些结构中可能观察到的物理现象。这将包括从波导中的单电子工程现象，到电子在量子点阵列中传播的强相关现象。我们的主要目标是为这一领域的实验，特别是匹兹堡大学的LAO/STO实验，制定一个路线图，我们还将探索与超冷原子中量子输运现象新实现的联系。使用的方法将是强相互作用系统的理论技术，以及在斯特拉斯克莱德大学开发的受量子光学启发的新形式。这些技术将在这里进一步发展，为计算这种多体量子系统中的输运提供了新的手段。

In this project, we investigate quantum transport phenomena in mesoscopic structures that can be realised at the interface of LAO/STO Oxide Heterostructures. The goal will be to further develop and utilise theoretical techniques to explore the physics that might be observable in these structures. This will range from engineering single-electron phenomena in waveguides, to strongly correlated phenomena for electrons propaging through arrays of quantum dots. Our primary goal will be to set a roadmap for experiments in this area, especially those in LAO/STO experiments at the University of Pittsburgh, and we will also explore connections to new realisations of quantum transport phenomena in ultracold atoms. The methods used will be theoretical techniques for strongly interacting systems, and new quantum optics-inspired formalisms that have been developed at the University of Strathclyde. These techniques, which will be further developed here, provide new means to calculate transport in such many-body quantum systems.