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Stability of the Bulk Gap

Mathematical Physics and Probability Seminar

Stability of the Bulk Gap
Series: Mathematical Physics and Probability Seminar
Location: ONLINE
Presenter: Robert Sims, University of Arizona

We prove that uniformly small short-range perturbations do not close 

the bulk gap above the ground state of frustration-free quantum spin systems  that satisfy a standard local topological quantum order condition. In contrast with earlier results, we do not require a positive lower bound for finite-system Hamiltonians uniform in the system size. To obtain this result, we adapt the Bravyi-Hastings-Michalakis strategy to the GNS representation of the infinite-system ground state. This is joint work with Bruno Nachtergaele and Amanda Young.

(https://utah.zoom.us/j/96895584107)