3 problems

Let a Sturmian ground state be generated by a rotation on the circle by a badly approximable irrational, and let the interaction decay as $1/r^{\alpha}$. Stability conjecture. Stur…

Strict boundary condition conjecture. The strict boundary condition is equivalent to low-temperature stability of non-periodic ground states, meaning the existence of non-periodic…

Let $H=\sum_{m=1}^{M}\Pi_m$ be a QSAT Hamiltonian on an interaction graph $\mathcal{G}$, where each projector $\Pi_i$ acts on a subset of $n$ qudits. Let $N_q=N$ be the qudit dimen…