3 problems

A two-dimensional PEPS has a bulk Hamiltonian and a corresponding one-dimensional boundary Hamiltonian. The bulk Hamiltonian is gapped when it has a spectral gap above its ground-s…

Boundary Gibbs-state conjecture. The parent Hamiltonian of the PEPS is gapped if and only if the boundary states can be written as Gibbs states of one-dimensional short-range Hamil…

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…