3 problems

Consider the antiferromagnetic Heisenberg model in one spatial dimension with integer spins. Haldane's conjecture. The model is gapped. This conjecture predicts a fundamental disti…

Let $\Lambda$ be the underlying lattice, let $A\subset\Lambda$ be any rectangular region, and let $H_A$ denote the corresponding parent Hamiltonian restricted to $A$. A boundary st…

Quasi-local Araki conjecture. The displayed approximation and norm bounds hold for quasi-local Hamiltonian interactions.