Topological Quantum Many-Body Scars in Quantum Dimer Models on the Kagome Lattice

TL;DR

This paper introduces quantum dimer models on the kagome lattice that contain analytically characterized many-body scar states, which deviate from typical thermalization behavior and exhibit unique entanglement and revival features.

Contribution

The authors identify and analyze a class of quantum dimer models with exact many-body scar states on the kagome lattice, expanding understanding of non-thermal eigenstates in such systems.

Findings

Scar states have analytically known entanglement properties.

Non-scar states follow eigenstate thermalization hypothesis.

Revival phenomena observed in fidelity dynamics.

Abstract

We present a class of quantum dimer models on the kagome lattice with full translational invariance that feature a quantum many-body scar state of analytically known entanglement properties within their spectra. Using exact diagonalization on lattices of up to 60 sites, we show that non-scar states conform to the eigenstate thermalization hypothesis. Specifically, we show that energies are distributed according to the Gaussian ensemble expected of their respective symmetry sector, illustrate the existence of the scar from bipartite entanglement properties, and demonstrate revival phenomena in studies of fidelity dynamics.