19 citations · 36 across the 6 of their papers we have counts for
6 papers
The double semion state in infinite volume
Alex Bols, Boris Kjaer, Alvin Moon
We describe in a simple setting how to extract a unitary braided fusion category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding…
Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
Angelo Lucia, Alvin Moon, Amanda Young
We use cluster expansions to establish local indistiguishability of the finite-volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at…
A Lieb-Robinson bound for quantum spin chains with strong on-site impurities
Martin Gebert, Alvin Moon, Bruno Nachtergaele
We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorp…
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…
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…
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…