Modul:   MAT675  PDE and Mathematical Physics

Stability of gapped quantum systems under small perturbations

Talk by Dr. Alessandro Pizzo

Date: 15.12.22  Time: 13.30 - 14.30  Room:

I will consider families of quantum lattice systems that have attracted much interest amongst people studying topological phases of matter. Their Hamiltonians are perturbations, by interactions of short range, of a Hamiltonian consisting of strictly local terms and with a (strictly positive) energy gap above its ground-state energy. I will review the main ideas of a novel method based on local Lie-Schwinger conjugations of the Hamiltonians associated with connected subsets of the lattice. By this method fermions and bosons are treated on the same footing, and our technique does not face a large field problem, even though bosons are involved.