- This event has passed.
Dalhousie-AARMS AAMP Seminar: Amanda Young (Technical University of Munich)
November 19, 2021 @ 4:00 pm - 5:00 pm
Title: A bulk gap in the presence of edge states for a HaldanepseudopotentialAbstract: In this talk, we discuss a recent result on a bulk gap for atruncated Haldane pseudopotential with maximal half filling, whichdescribes a strongly correlated system of spinless bosons in a cylindergeometry. For this Hamiltonian with either open or periodic boundaryconditions, we prove a spectral gap above the highly degenerateground-state space which is uniform in the volume and particle number.Our proofs rely on identifying invariant subspaces to which we applygap-estimate methods previously developed only for quantum spinHamiltonians. In the case of open boundary conditions, the lower boundon the spectral gap accurately reflects the presence of edge states,which do not persist into the bulk. Customizing the gap technique to theinvariant subspace, we avoid the edge states and establish a moreprecise estimate on the bulk gap in the case of periodic boundaryconditions. The same approach can also be applied to prove a bulk gapfor the analogously truncated 1/3-filled Haldane pseudopotential for thefractional quantum Hall effect. Based off joint work with S. Warzel.
The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 – 5 pm Atlantic Time over Zoom. If you would like to attend, please email the organizers for connection details.