Quantum many-body scars from virtual entangled pairs

Abstract

We study weak ergodicity breaking in a one-dimensional, nonintegrable spin-1 XY model. We construct for it an exact, highly excited eigenstate, which despite its large energy density, can be represented analytically by a finite bond-dimension matrix product state (MPS) with area-law entanglement. Upon a quench to a finite Zeeman field, the state undergoes periodic dynamics with perfect many-body revivals, in stark contrast to other generic initial states which instead rapidly thermalize. This dynamics can be completely understood in terms of the evolution of entangled virtual spin-1/2 degrees of freedom, which in turn underpin the presence of an extensive tower of strong-eigenstate thermalization hypothesis (ETH)-violating many-body eigenstates. The resulting quantum many-body scars are therefore of novel origin. Our results provide important analytical insights into the nature and entanglement structure of quantum many-body scars.

7 + 9 pages

References in corpus (34)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Chaos and Quantum Thermalization
• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• The many-body localization phase transition
• Quantum thermalization through entanglement in an isolated many-body system
• Conditions for a class of entanglement transformations
• Quantum many-body scars
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Local conservation laws and the structure of the many-body localized states
• Many-body localization in a quantum simulator with programmable random disorder
• Eigenstate Thermalization Hypothesis
• Probing entanglement in a many-body-localized system
• Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
• Local emergence of thermal correlations in an isolated quantum many-body system
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• 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
• Recent progress in many-body localization
• 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
• Signatures of integrability in the dynamics of Rydberg-blockaded chains
• Critical thermalization of a disordered dipolar spin system in diamond
• Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
• Topological many-body scar states in dimensions 1, 2, and 3
• Quantum Many-body Scars in a Landau Level on a Thin Torus
• The Ergodicity Landscape of Quantum Theories

Cited by in corpus (79)

• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Quantum Many-Body Scars: A Quasiparticle Perspective
• Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
• Eta-pairing states as true scars in an extended Hubbard Model
• Many-Body Localization in the Age of Classical Computing
• Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
• Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
• From tunnels to towers: quantum scars from Lie Algebras and q-deformed Lie Algebras
• Quantum scars as embeddings of weakly "broken" Lie algebra representations
• Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
• Flat Band Quantum Scar
• Quasi-symmetry groups and many-body scar dynamics
• Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
• A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
• Catching Bethe phantoms and quantum many-body scars: Long-lived spin-helix states in Heisenberg magnets
• Stabilizing two-dimensional quantum scars by deformation and synchronization
• Exact many-body scars and their stability in constrained quantum chains
• Rainbow Scars: From Area to Volume Law
• Many-body scar state intrinsic to periodically driven system: Rigorous results
• Extensive multipartite entanglement from su(2) quantum many-body scars
• Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles
• Scars from protected zero modes and beyond in $U(1)$ quantum link and quantum dimer models
• Quantum Many-Body Scars and Quantum Criticality
• Driving quantum many-body scars in the PXP model
• Quantum many-body scars in transverse field Ising ladders and beyond
• The fate of quantum many-body scars in the presence of disorder
• Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
• Area-law entangled eigenstates from nullspaces of local Hamiltonians
• Genuine many-body quantum scars along unstable modes in Bose-Hubbard systems
• Quantum Information Scrambling in Quantum Many-body Scarred Systems
• Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
• Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
• Quantum scars and bulk coherence in a symmetry-protected topological phase
• Embedding Quantum Many-Body Scars into Decoherence-Free Subspaces
• Weak-ergodicity-breaking via lattice supersymmetry
• Squeezing Quantum Many-Body Scars
• Preparing quantum many-body scar states on quantum computers
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
• Quantum many-body scars in spin models with multibody interactions
• Fractionalization paves the way to local projector embeddings of quantum many-body scars
• Strong Hilbert space fragmentation via emergent quantum drums in two dimensions
• Dynamical route to ergodicity and quantum scarring in kicked coupled top
• Extracting Quantum Many-Body Scarred Eigenstates with Matrix Product States
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Robust quantum many-body scars in the one-dimensional spin-1 Kitaev model
• Low-complexity eigenstates of a $\nu =1/3$ fractional quantum Hall system
• Constructing the spin-1 Haldane phase on a qudit quantum processor
• Mobility edges through inverted quantum many-body scarring
• Hidden Bethe states in a partially integrable model
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Stability of scar states in 2D PXP model against random disorders
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Quasi-Nambu-Goldstone modes in many-body scar models
• Classical route to ergodicity and scarring in collective quantum systems
• Exact many-body scars based on pairs or multimers in a chain of spinless fermions
• Control of Mooij correlations at the nanoscale in the disordered metallic Ta - nanoisland FeNi multilayers
• Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
• Stabilizer Scars
• Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Almost complete revivals in quantum many-body systems
• Exact volume-law entangled zero-energy eigenstates in a large class of spin models
• Ergodicity breaking and deviation from Eigenstate Thermalisation in relativistic QFT
• Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
• Taking the temperature of quantum many-body scars
• Power-law banded random matrix ensemble as a model for quantum many-body Hamiltonians
• ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
• Gaussian state approximation of quantum many-body scars
• Periodic revivals from supersymmetry in a fermionic kinetically constrained model
• Additional quantum many-body scars of the spin-$1$ $XY$ model with Fock-space cages and commutant algebras
• Stabilization of Granovskii-Zhedanov scars of the XYZ quantum spin chain via non-Hermitian spin relaxation
• Exploring the properties of quantum scars in a toy model
• Quantum transitions, ergodicity, and quantum scars in the coupled top model