We utilize a general strategy to turn classes of frustration free lattice models into similar classes containing quantum many-body scars within the bulk of their spectrum while preserving much or all of the original symmetry. We apply this strategy to a well-known class of quantum dimer models on the kagome lattice with a large parameter space. We discuss that the properties of the resulting scar state(s), including entanglement entropy, are analytically accessible. Settling on a particular representative within this class of models retaining full translational symmetry, we present numerical exact diagonalization studies on lattices of up to 60 sites, giving evidence that non-scar states conform to the eigenstate thermalization hypothesis. We demonstrate that bulk energies surrounding the scar are distributed according to the Gaussian ensemble expected of their respective symmetry sector. We further contrast entanglement properties of the scar state with that of all other eigenstates.
تحميل البحث