3 papers
math-ph2019
Automorphic equivalence within gapped phases in the bulk
Alvin Moon, Yoshiko Ogata
We develop a new adiabatic theorem for unique gapped ground states which does not require the gap for local Hamiltonians. We instead require a gap in the bulk and a smoothness of e…
math-ph2019
Automorphic equivalence preserves the split property
Alvin Moon
We prove that the split property is a stable feature for spin chain states which are related by composition with *-automorphisms generated by power-law decaying interactions. We ap…
math-ph2018
Stability of Gapped Ground State Phases of Spins and Fermions in One Dimension
Alvin Moon, Bruno Nachtergaele
We investigate the persistence of spectral gaps of one-dimensional frustration free quantum lattice systems under weak perturbations and with open boundary conditions. Assuming the…