A Bulk Gap in the Presence of Edge States for a Truncated Haldane Pseudopotential

Learn about groundbreaking research in quantum physics through this seminar presentation where Amanda Young from UIUC explores the spectral properties of Haldane pseudopotentials in fractional quantum Hall systems. Delve into a detailed analysis of gap conjecture verification for a truncated version of the 1/3-filled Haldane pseudopotential in cylinder geometry, examining how boundary conditions affect spectral gaps. Discover a novel spectral gap estimation technique that successfully distinguishes bulk gaps from edge states by leveraging key invariant subspaces of the Hamiltonian. Follow along as the presentation uncovers how this innovative approach provides more accurate lower bound measurements on bulk gaps while accounting for the presence of edge modes, representing significant progress in understanding topological quantum matter. Based on collaborative research with S. Warzel, this technical discussion illuminates important developments in quantum physics methodology and measurement techniques.