# Mathematics Colloquia and Seminars

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### Stability of Frustration-Free Ground States of Quantum Spin Systems

**Mathematical Physics & Probability**

Speaker: | Bruno Nachtergaele, UC Davis |

Related Webpage: | https://www.math.ucdavis.edu/~bxn/ |

Location: | 1147 MSB |

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