From Lieb–Robinson bounds to automorphic equivalence

  • Bruno Nachtergaele

    University of California, Davis, United States of America
From Lieb–Robinson bounds to automorphic equivalence cover
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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.