60 citations · 394 across the 23 of their papers we have counts for
5 papers · 1 filter
On the critical finite-size gap scaling for frustration-free Hamiltonians
Marius Lemm, Angelo Lucia
We prove that the critical finite-size gap scaling for frustration-free Hamiltonians is of inverse-square type. The result covers general graphs embedded in and gener…
A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs
Angelo Lucia, Amanda Young
We consider the spectral gap question for AKLT models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing al…
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 class of two-dimensional AKLT models with a gap
Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia +2
The AKLT spin chain is the prototypical example of a frustration-free quantum spin system with a spectral gap above its ground state. Affleck, Kennedy, Lieb, and Tasaki also conjec…
Divide and conquer method for proving gaps of frustration free Hamiltonians
Michael J. Kastoryano, Angelo Lucia
Providing system-size independent lower bounds on the spectral gap of local Hamiltonian is in general a hard problem. For the case of finite-range, frustration free Hamiltonians on…