Spectral atypicality of exact invariant states

Determine whether the exact low-bond-dimension invariant states constructed from periodic auxiliary traces are spectrally atypical relative to the remaining Floquet spectrum of the coherent quantum deformation.

Background

The quantum deformation has an exponentially large zero-quasienergy subspace, and the periodic trace construction selects exact invariant states with bounded bond dimension.

The paper deliberately calls these states scar candidates because it proves invariance and low entanglement but does not establish spectral isolation or atypicality. A separate comparison with the rest of the Floquet spectrum is required.