From Lieb-Robinson Bounds to Automorphic Equivalence

• URL: http://arxiv.org/abs/2205.10460v1
• Date: Fri, 20 May 2022 23:30:48 GMT
• Title: From Lieb-Robinson Bounds to Automorphic Equivalence
• Authors: Bruno Nachtergaele
• Abstract summary: I review the role of Lieb-Robinson bounds in characterizing and utilizing the locality properties of the Heisenberg dynamics of quantum lattice systems. I discuss two definitions of gapped ground state phases and show that they are essentially equivalent.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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