From compact localized states to many-body scars in the random quantum comb

Understand

In this work we investigate the effects of configurational disorder on the eigenstates and dynamical properties of a tight-binding model on a quasi-one-dimensional comb lattice, consisting of a backbone decorated with linear offshoots of randomly distributed lengths.

• We show that all eigenstates are exponentially localized along the backbone of the comb.
• Moreover, we demonstrate the presence of an extensive number of compact localized states with precisely zero localization length.
• We provide an analytical understanding of these states and show that they survive in the presence of density-density interactions along the backbone of the system where, for sufficiently low but finite particle densities, they form many-body scar states.