Fractionalization paves the way to local projector embeddings of quantum many-body scars
arXiv:2305.00827 · doi:10.1103/PhysRevB.108.054412
Abstract
Many systems that host exact quantum many-body scars (towers of energy-equidistant low entanglement eigenstates) are governed by a Hamiltonian that splits into a Zeeman term and a sum of local terms that annihilate the scar subspace. We show that this unifying structure also applies to models, such as the Affleck-Kennedy-Lieb-Tasaki (AKLT) model or the PXP model of Rydberg-blockaded atoms, that were previously believed to evade this characterisation. To fit these models within the local annihilator framework we need to fractionalize their degrees of freedom and enlarge the associated Hilbert space. The embedding of the original system in a larger space elucidates the structure of their scar states and simplifies their construction, revealing close analogies with lattice gauge theories.
arXiv comment18 pages, 1 figure
References in corpus (42)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Many-body localization, thermalization, and entanglement
- Quantum many-body scars
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- On Many-Body Localization for Quantum Spin Chains
- Eigenstate Thermalization Hypothesis
- Integrals of motion in the Many-Body localized phase
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- 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
- Non-stationary coherent quantum many-body dynamics through dissipation
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
- Unified structure for exact towers of scar states in the AKLT and other models
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Collapse and revival of quantum many-body scars via Floquet engineering
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Many Body Scars as a Group Invariant Sector of Hilbert Space
- Eta-pairing states as true scars in an extended Hubbard Model
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Systematic construction of scarred many-body dynamics in 1D lattice models
- Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
- Dynamical scar states in driven fracton systems
- From tunnels to towers: quantum scars from Lie Algebras and q-deformed Lie Algebras
- Topological many-body scar states in dimensions 1, 2, and 3
- Quantum many-body scars from virtual entangled pairs
- Quasi-symmetry groups and many-body scar dynamics
- Quantum Many-body Scars in a Landau Level on a Thin Torus
- Quantum scars of bosons with correlated hopping
- Group theoretic approach to many-body scar states in fermionic lattice models
- Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
- Many-body scar state intrinsic to periodically driven system: Rigorous results
- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- Quantum many-body scars in bipartite Rydberg arrays originate from hidden projector embedding
Cited by in corpus (14)
- Quantum state complexity meets many-body scars
- Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
- Quantum many-body scars in spin models with multibody interactions
- Volume-entangled exact scar states in the PXP and related models in any dimension
- Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
- Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
- Leveraging static quantum many-body scars into period-doubled responses
- Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
- Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
- Scar-induced imbalance in staggered Rydberg ladders
- Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
- Construction of asymptotic quantum many-body scar states in the SU() Hubbard model
- Transport in a System with a Tower of Quantum Many-Body Scars
- Thermalization of Quantum Many-Body Scars in Kinetically Constrained Systems