Speaker
Prof.
Bruno Nachtergaele
(University of California, Davis)
Description
Abstract: We study frustration-free quantum lattice systems with a non-vanishing spectral gap above one or more
(infinite-volume) ground states. The ground states are called stable if arbitrary perturbations of the
Hamiltonian that are uniformly small throughout the lattice have only a perturbative effect. In the past
several years such stability results have been obtained in increasing generality. We review results by
Bravyi-Hastings, Bravyi-Hastings-Michalakis, and Michalakis-Zwolak, as well as recent refinements. (Joint
work with Robert Sims and Amanda Young.)
