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Stability against large perturbations of invertible, frustration-free ground states
Mathematical Physics Seminar| Speaker: | Martin Fraas, UC Davis |
| Location: | 3024 PSEL/QMAP |
| Start time: | Fri, Nov 19 2021, 11:00AM |
A gapped ground state of a quantum spin system has a natural length scale set by the gap. This length scale governs the decay of correlations. A common intuition is that this length scale also controls the spatial relaxation towards the ground state away from impurities or boundaries. The aim of this work is to take a step towards a proof of this intuition. To make the problem more tractable, we assume that there is a unique ground state that is frustration-free and invertible. Moreover, we assume the property that we are aiming to prove for one specific kind of boundary condition; namely open boundary conditions. With these assumptions we can prove stretched exponential decay away from boundaries for any boundary conditions or (large) perturbations and for all ground states of the perturbed system. This is a joint work with S. Bachmann, W. De Roeck and B. Donvil, https://arxiv.org/abs/2110.11194.
This is an in person talk.