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Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele +1
Gapped ground states of quantum spin systems have been referred to in the physics literature as being `in the same phase' if there exists a family of Hamiltonians H(s), with finite…
Quantization of Hall Conductance For Interacting Electrons Without Averaging Assumptions
Matthew B. Hastings, Spyridon Michalakis
We consider two-dimensional Hamiltonians on a torus with finite range, finite strength interactions and a unique ground state with a non-vanishing spectral gap, and a conserved loc…
Entanglement in Finitely Correlated Spin States
Spyridon Michalakis, Bruno Nachtergaele
We derive bounds for the entanglement of a spin with an (adjacent and non-adjacent) interval of spins in an arbitrary pure finitely correlated state (FCS) on a chain of spins of an…