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From Lieb-Robinson Bounds to Automorphic Equivalence

Published 20 May 2022 in math-ph, cond-mat.stat-mech, math.MP, and quant-ph | (2205.10460v1)

Abstract: I review the role of Lieb-Robinson bounds in characterizing and utilizing the locality properties of the Heisenberg dynamics of quantum lattice systems. In particular, I discuss two definitions of gapped ground state phases and show that they are essentially equivalent.

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