Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians

Understand

Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to conservation laws provide obstructions to thermalization in the absence of disorder.

• In certain models with dipole and $U(1)$ conservation, the fragmentation results in subdiffusive transport.
• In this paper we study the interplay between scarring and weak fragmentation giving rise to anomalous hydrodynamics in a class of one-dimensional spin-$1$ frustration-free projector Hamiltonians, known as deformed Motzkin chain.
• The ground states and low-lying excitations of these chains exhibit large entanglement and critical slowdown.