Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Gapped ground state phases of lattice systems --- Stability of the bulk gap

Probability

Speaker: Bruno Nachtergaele, UCD
Location: Zoom
Start time: Wed, Jan 20 2021, 4:10PM

I will give an overview of stability results for the spectral gap above the ground states of quantum lattice systems obtained in the past decade and explain the overall strategy introduced by Bravyi, Hastings, and Michalakis. A new result I will present proves the stability of the bulk gap for infinite systems with an approach that bypasses possible gapless boundary modes (joint work with Bob Sims and Amanda Young).