6 problems

Let $G$ (or $G_f$) be a spatial symmetry group with given additional symmetry data, and let $G^{\text{eff}}$ (or $G_f^{\text{eff}}$) be the corresponding effective internal symmetr…

Consider a quantum many-body system initially prepared in the ground state of one Hamiltonian and subjected to a sudden change of interaction strength, or quench. Local relaxation…

A lattice system is equipped with a symmetry and an associated anomaly, and its possible quantum phases of matter are those that can emerge in the lattice system. Emergibility hypo…

Fibonacci–Ising stacking conjecture. The stacked model is part of a gapped phase in which properly infinite subsystems have type ${\mathrm{III}}_1$ algebras in ground-state sectors…

Let $\tilde\delta$ denote the object whose subspace is under consideration, and let the preceding construction identify a candidate subspace of $\tilde\delta$. Full-subspace conjec…

Eigenstate thermalization hypothesis. There are no eigenstate-to-eigenstate fluctuations in the diagonal matrix elements $A_{\alpha,\alpha}$ for eigenstates close in energy; equiva…