Quantum many-body scars with chiral topological order in 2D and critical properties in 1D
arXiv:2009.03923 · doi:10.1103/PhysRevB.102.235106
Abstract
We construct few-body, interacting, nonlocal Hamiltonians with a quantum scar state in an otherwise thermalizing many-body spectrum. In one dimension, the embedded state is a critical state, and in two dimensions, the embedded state is a chiral topologically ordered state. The models are defined on slightly disordered lattices, and the scar state appears independent of the precise realization of the disorder. A parameter allows the scar state to be placed at any position in the spectrum. We show that the level spacing distributions are Wigner-Dyson and that the entanglement entropies of the states in the middle of the spectrum are close to the Page value. Finally, we confirm the topological order in the scar state by showing that one can insert anyons into the state.
arXiv comment6 pages, 5 figures
References in corpus (28)
- Entanglement Entropy and Quantum Field Theory
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Average Entropy of a Subsystem
- Quantum many-body scars
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Real time confinement following a quantum quench to a non-integrable model
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Exact Excited States of Non-Integrable Models
- Onsager's Scars in Disordered Spin Chains
- Infinite matrix product states, Conformal Field Theory and the Haldane-Shastry model
- Systematic construction of scarred many-body dynamics in 1D lattice models
- Topological many-body scar states in dimensions 1, 2, and 3
- Laughlin spin liquid states on lattices obtained from conformal field theory
- Full counting statistics in the Haldane-Shastry chain
- Lattice Laughlin States of Bosons and Fermions at Filling Fractions
- Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
- Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
- Anyon braiding in semi-analytical fractional quantum Hall lattice models
- Lattice effects on Laughlin wave functions and parent Hamiltonians
- Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
- Localization and delocalization of fermions in a background of correlated spins
Cited by in corpus (24)
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Flat Band Quantum Scar
- Group theoretic approach to many-body scar states in fermionic lattice models
- Hilbert Space Fragmentation and Exact Scars of Generalized Fredkin Spin Chains
- Rainbow Scars: From Area to Volume Law
- Multiple quantum scar states and emergent slow-thermalization in the flat-band system
- Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
- Multi-magnon quantum many-body scars from tensor operators
- Quantum scars and bulk coherence in a symmetry-protected topological phase
- Stability of the many-body scars in fermionic spin-1/2 models
- Majorana Scars as Group Singlets
- Scar states in a system of interacting chiral fermions
- Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
- Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
- Stability of scar states in 2D PXP model against random disorders
- Stabilizer Scars
- Adiabatic time evolution of highly excited states
- Renormalization view on resonance proliferation between many-body localized phases
- Symmetric tensor scars with tunable entanglement from volume to area law
- Experimental protocol for observing single quantum many-body scars with transmon qubits
- Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models
- Unconventional superconducting correlations in fermionic many-body scars
- Certain BCS wavefunctions are quantum many-body scars