Topological Quantum Many-Body Scars in Quantum Dimer Models on the Kagome Lattice
arXiv:2009.00022 · doi:10.1103/PhysRevB.104.L121103
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.
arXiv commentpublished version; analysis of fidelity dynamics added
References in corpus (38)
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum many-body scars
- Many-body localization in a quantum simulator with programmable random disorder
- An RVB phase in the triangular lattice quantum dimer model
- Many-body localization: an introduction and selected topics
- Eigenstate Thermalization Hypothesis
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Short-ranged RVB physics, quantum dimer models and Ising gauge theories
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Critical thermalization of a disordered dipolar spin system in diamond
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Exact three-colored quantum scars from geometric frustration
- Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
- Topological many-body scar states in dimensions 1, 2, and 3
- Slow quantum thermalization and many-body revivals from mixed phase space
- Quantum Many-body Scars in a Landau Level on a Thin Torus
- Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
- Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model
- Linear independence of nearest neighbor valence bond states on the kagome lattice and construction of SU(2)-invariant spin-1/2-Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state
- Correlation functions in SU(2)-invariant RVB spin liquids on nonbipartite lattices
- Entanglement Entropy and Topological Order in Resonating Valence-Bond Quantum Spin Liquids
- Localization and delocalization of fermions in a background of correlated spins
- Exact Solution and Correlations of a Quantum Dimer Model on the Checkerboard Lattice
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- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars: A Quasiparticle Perspective
- A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
- Hilbert Space Fragmentation and Exact Scars of Generalized Fredkin Spin Chains
- Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
- Rainbow Scars: From Area to Volume Law
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Scars from protected zero modes and beyond in quantum link and quantum dimer models
- Driving quantum many-body scars in the PXP model
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
- Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
- Height-conserving quantum dimer models
- Motif magnetism and quantum many-body scars
- Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
- Strong Hilbert space fragmentation via emergent quantum drums in two dimensions
- Stability of scar states in 2D PXP model against random disorders
- Tower of two-dimensional scar states in a localized system
- Stabilizer Scars
- Quantum Scar States in Coupled Random Graph Models
- Hilbert space fragmentation from lattice geometry
- Symmetric tensor scars with tunable entanglement from volume to area law
- Geometric fragmentation and anomalous thermalization in cubic dimer model
- Real space thermalization of locally driven quantum magnets