1Matematikai Tanszék, British Columbia Egyetem, Vancouver, BC V6T 1Z2, Kanada
2Institute of Theoretical Physics, K.U. Leuven, 3001 Leuven, Belgium
3Komplex kvantumrendszerek intézete és IQST Központ, Ulmi Egyetem, 89069 Ulm, Németország
4Matematikai és Statisztikai Tanszék, Helsinki Egyetem, Helsinki, Finnország
5Matematika Tanszék, Kaliforniai Egyetem, Davis, Davis, CA, 95616, USA
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Absztrakt
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 article is to take a step towards a proof of this intuition. We assume that the ground state is frustration-free and invertible, i.e. it has no long-range entanglement. Moreover, we assume the property that we are aiming to prove for one specific kind of boundary condition; namely open boundary conditions. This assumption is also known as the “local topological quantum order” (LTQO) condition. With these assumptions we can prove stretched exponential decay away from boundaries or impurities, for any of the ground states of the perturbed system. In contrast to most earlier results, we do not assume that the perturbations at the boundary or the impurity are small. In particular, the perturbed system itself can have long-range entanglement.
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Idézi
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A fenti idézetek innen származnak SAO/NASA HIRDETÉSEK (utolsó sikeres frissítés: 2022-09-10 00:52:36). Előfordulhat, hogy a lista hiányos, mivel nem minden kiadó ad megfelelő és teljes hivatkozási adatokat.
On Crossref által idézett szolgáltatás művekre hivatkozó adat nem található (utolsó próbálkozás 2022-09-10 00:52:34).
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