Description: Vortex quantum states are specific configurations of quantum particles that exhibit a vortex structure, implying that they possess a non-zero angular momentum. These states are fundamental in quantum mechanics and are characterized by their ability to exhibit topological properties, meaning their structure cannot be transformed into a different form without breaking the continuity of the system. In simpler terms, vortex quantum states can be visualized as ‘whirlpools’ in phase space, where the phase of the wave function varies continuously around a central point. This phase variation is related to the angular momentum of the particle, giving them unique properties compared to other quantum states. The significance of these states lies in their potential applications in various fields of quantum technology, where the manipulation of quantum information is crucial. Additionally, vortex quantum states have been studied in the context of particle systems in Bose-Einstein condensates and in the physics of superconductors, where their behavior can influence the macroscopic properties of materials. In summary, vortex quantum states represent a fascinating area of study in quantum physics, with significant implications for the development of advanced quantum technologies.