Entanglement Properties of Degenerate Eigenstates in fSUSY

It was recently shown [T. Iadecola, T.H. Hsieh] that a driven (Floquet) system endowed with time reflection symmetry can exhibit an exponentially large degeneracy of the $E=0,\pi$ eigenspaces. In addition to being exponentially large, the degeneracy of the $0,\Pi$ quasi-energies is robust to disorder interactions which respect time reflection symmetry. Here, we study the nature of the degenerate states, asking if they be distinguished from the rest of the eigenstates by looking at their entanglement scaling. We do so in the simplest variant of this model— a one-dimensional spin 1/2 chain with a two part drive.