Spin of Fractional Quantum Hall Neutral Quasiparticles and the "Missing States" on a Sphere

Explore the intricate physics of fractional quantum Hall systems in this 39-minute conference talk from the Workshop on Ultra-Quantum Matter at the Institute for Advanced Study. Delve into the spin properties of neutral quasiparticles within fractional quantum Hall states and examine the phenomenon of "missing states" when these systems are studied on a spherical geometry. Learn about the theoretical framework underlying these quantum many-body systems and discover how geometric constraints affect the observable quantum states. Gain insights into advanced condensed matter physics concepts including topological phases of matter, anyonic statistics, and the role of geometry in quantum Hall physics. Understand the implications of these findings for our broader understanding of strongly correlated electron systems and topological quantum matter.