Assess scar phenomenology in protected zero-energy embeddings

Determine whether the protected zero-energy subspaces generated by the chiral color-ice parent Hamiltonians support genuine quantum-scar phenomenology, including long-lived chirality oscillations, under suitable reweightings or embeddings into thermalizing Hamiltonians.

Background

The common kernel remains pinned at zero energy under arbitrary reweighting of the local positive-semidefinite terms, a property that can support protected subspaces embedded in otherwise thermalizing systems. The paper identifies this as a possible setting for studying quantum scars but does not establish whether the resulting embeddings exhibit genuine scar behavior or persistent chirality dynamics.

References

The zero-energy kernel, as the common kernel of all local terms, remains pinned at zero energy under arbitrary reweighting of those terms---the structural prerequisite for protected embeddings inside thermalizing Hamiltonians cite{Chertkov2021,Moudgalya2022}; whether such embeddings produce genuine scar phenomenology, such as long-lived chirality oscillations cite{Serbyn2021}, is left open here.

— Chiral Color Ice: Exact Local Handedness Constraints and Möbius Zero Modes in Frustrated Magnets  (2608.30802 - Kránitz et al., 31 Aug 2026) in Section 6, Outlook (paragraph discussing protected embeddings inside thermalizing Hamiltonians)