Research Projects

The quantum revolution is a significant opportunity for the development of next-generation technologies, such as transistors, LEDs, and LAsERs. This has led to breakthrough inventions and socioeconomic impacts, making further exploration into quantum phenomena crucial. Three key ideas in basic research are quantum entanglement, topology, and strong correlations. This project aims to explore the interplay of these concepts in condensed matter systems from a theoretical and computational perspective. Part I will focus on entanglement and strong correlations, which have significant implications for computing and communication. Entanglement occurs when it becomes impossible to describe the state of individual particles independently, leading to applications like quantum teleportation and cryptography. The goal is to develop an analytical formulation and computational method to explore entanglement in interacting many-electron systems and screen candidate materials for applications in quantum devices. Part II will explore the topology of strongly-correlated electrons, which often leads to materials like quantum magnets, which are crucial for storing data in modern electronic devices. Topology, the mathematical property of an object that remains unchanged under deformations, has become a powerful tool in condensed matter physics, leading to wonder materials like Topological Insulators (TI). Topology enables TIs to host emergent particles on their surface, which can be used to store and process quantum information efficiently. This part will explore the realization of a new type of topology, called higher-order topology, in quantum magnetic systems and their consequences in practical applications.