Mathematics Colloquia and Seminars
Stability of Frustration-Free Ground States of Quantum Spin SystemsMathematical Physics & Probability
|Speaker:||Bruno Nachtergaele, UC Davis|
|Start time:||Wed, Sep 28 2016, 4:30PM|
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 aimed at applications to topological phases. We discuss the works by Bravyi-Hastings-Michalakis and Michalakis-Zwolak, and some recent extensions of these results to systems with spontaneous symmetry breaking in joint work with Robert Sims and Amanda Young.
Note seminar time for Fall 2016: 4:30-5:30 PM