Quantum Many-Body Scars: A Quasiparticle Perspective
arXiv:2206.11528 · doi:10.1146/annurev-conmatphys-031620-101617
Abstract
Weakly interacting quasiparticles play a central role in the low-energy description of many phases of quantum matter. At higher energies, however, quasiparticles cease to be well-defined in generic many-body systems due to a proliferation of decay channels. In this review, we discuss the phenomenon of quantum many-body scars, which can give rise to certain species of stable quasiparticles throughout the energy spectrum. This goes along with a set of unusual non-equilibrium phenomena including many-body revivals and non-thermal stationary states. We provide a pedagogical exposition of this physics via a simple yet comprehensive example, that of a spin-1 XY model. We place our discussion in the broader context of symmetry-based constructions of many-body scar states, projector embeddings, and Hilbert space fragmentation. We conclude with a summary of experimental progress and theoretical puzzles.
arXiv comment23 pages + refs, 2 figures. Small changes from v1. Accepted version for Annual review of Condensed Matter Physics
References in corpus (156)
- Fault-tolerant quantum computation by anyons
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- 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
- Many-body localization, thermalization, and entanglement
- Average Entropy of a Subsystem
- Fast quantum gates for neutral atoms
- Quantum many-body systems out of equilibrium
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Relaxation and Pre-thermalization in an Isolated Quantum System
- 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
- On the phase structure of driven quantum systems
- Time-dependent variational principle for quantum lattices
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- An RVB phase in the triangular lattice quantum dimer model
- Generalized Gibbs ensemble in integrable lattice models
- Dynamics of Loschmidt echoes and fidelity decay
- Eigenstate Thermalization Hypothesis
- Equilibrium states of generic quantum systems subject to periodic driving
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Fractons
- Localization from Hilbert space shattering: from theory to physical realizations
- Time crystals: a review
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Prethermalization
- 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
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Dynamic first-order phase transition in kinetically constrained models of glasses
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Quantum chaos challenges many-body localization
- Ising models of quantum frustration
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- Spin Ice, Fractionalization and Topological Order
- 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
- Fracton Phases of Matter
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Quantum simulation and computing with Rydberg-interacting qubits
- Non-stationary coherent quantum many-body dynamics through dissipation
- Discrete Time Crystals
- Ultracold atoms out of equilibrium
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Avalanches and many-body resonances in many-body localized systems
- Competing density-wave orders in a one-dimensional hard-boson model
- Fracton hydrodynamics
- Stark many-body localization
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
- Hilbert-Space Fragmentation from Strict Confinement
- Dynamical obstruction to localization in a disordered spin chain
- Distinguishing localization from chaos: challenges in finite-size systems
- 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
- Statistical localization: from strong fragmentation to strong edge modes
- Onsager's Scars in Disordered Spin Chains
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Can we study the many-body localisation transition?
- Nonthermal states arising from confinement in one and two dimensions
- Observation of Stark many-body localization without disorder
- Collapse and revival of quantum many-body scars via Floquet engineering
- Dynamics of many-body localisation in a translation invariant quantum glass model
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Integrability of a disordered Heisenberg spin-1/2 chain
- Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
- Many Body Scars as a Group Invariant Sector of Hilbert Space
- Determining a local Hamiltonian from a single eigenstate
- Eta-pairing states as true scars in an extended Hubbard Model
- Quantum Many-Body Scars in Optical Lattices
- From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the "Stochastic Matrix Form" decomposition
- The antiferromagnetic Ising chain in a mixed transverse and longitudinal magnetic field
- Signatures of rare states and thermalization in a theory with confinement
- Quantum Slow Relaxation and Metastability due to Dynamical Constraints
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
- Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
- The isolated Heisenberg magnet as a quantum time crystal
- Exact three-colored quantum scars from geometric frustration
- Dynamical scar states in driven fracton systems
- Stark many-body localization on a superconducting quantum processor
- From tunnels to towers: quantum scars from Lie Algebras and q-deformed Lie Algebras
- Quantum scars as embeddings of weakly "broken" Lie algebra representations
- Operator growth and eigenstate entanglement in an interacting integrable Floquet system
- The spectral gap for some spin chains with discrete symmetry breaking
- Topological many-body scar states in dimensions 1, 2, and 3
- Quantum many-body scars from virtual entangled pairs
- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
- Entanglement of Exact Excited Eigenstates of the Hubbard Model in Arbitrary Dimension
- Flat Band Quantum Scar
- Crossover from Poisson to Wigner-Dyson Level Statistics in Spin Chains with Integrability Breaking
- Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
- Multipole conservation laws and subdiffusion in any dimension
- Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
- Quasi-symmetry groups and many-body scar dynamics
- One-Dimensional Theory of the Quantum Hall System
- Quantum Many-body Scars in a Landau Level on a Thin Torus
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Hydrodynamics of ideal fracton fluids
- Strong quantum interactions prevent quasiparticle decay
- Quantum scars of bosons with correlated hopping
- Group theoretic approach to many-body scar states in fermionic lattice models
- Catching Bethe phantoms and quantum many-body scars: Long-lived spin-helix states in Heisenberg magnets
- The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions
- Stabilizing two-dimensional quantum scars by deformation and synchronization
- Exact Floquet quantum many-body scars under Rydberg blockade
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Many-Body Spectral Reflection Symmetry and Protected Infinite-Temperature Degeneracy
- Rainbow Scars: From Area to Volume Law
- Liquid ground state, gap and excited states of a strongly correlated spin chain
- New theoretical approaches for correlated systems in nonequilibrium
- Robust quantum sensing in strongly interacting systems with many-body scars
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
- How does a locally constrained quantum system localize?
- Error-Mitigated Simulation of Quantum Many-Body Scars on Quantum Computers with Pulse-Level Control
- Scars from protected zero modes and beyond in quantum link and quantum dimer models
- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- Quantum many-body scars in transverse field Ising ladders and beyond
- Orthogonal Quantum Many-body Scars
- The fate of quantum many-body scars in the presence of disorder
- Universal power law in crossover from integrability to quantum chaos
- Frustration free gapless Hamiltonians for Matrix Product States
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- Thermalization without eigenstate thermalization hypothesis after a quantum quench
- Thermalization of a strongly interacting 1D Rydberg lattice gas
- Comment on "Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis"
- Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
- Topological Quantum Many-Body Scars in Quantum Dimer Models on the Kagome Lattice
- Exact solution of the Floquet-PXP cellular automaton
- Quantum many-body scars with chiral topological order in 2D and critical properties in 1D
- Scarring in open quantum systems
- Out-of-Time-Ordered Crystals and Fragmentation
- Stark many-body localization transitions in superconducting circuits
- When a local Hamiltonian must be frustration-free
- Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space
- Squeezing Quantum Many-Body Scars
- Adiabatic landscape and optimal paths in ergodic systems
- Low-complexity eigenstates of a fractional quantum Hall system
- Scar states in a system of interacting chiral fermions
- Many-body delocalization via symmetry emergence
- Landau-Zener-Stueckelberg physics with a singular continuum of states
- Hidden Bethe states in a partially integrable model
- Entropy-vanishing transition and glassy dynamics in frustrated spins
Cited by in corpus (160)
- Random Quantum Circuits
- Many-Body Localization in the Age of Classical Computing
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Quantum state complexity meets many-body scars
- Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
- Weak integrability breaking perturbations of integrable models
- Deep thermalization in constrained quantum systems
- Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
- Anatomy of Dynamical Quantum Phase Transitions
- Statistics of phase space localization measures and quantum chaos in the kicked top model
- Ergodicity breaking provably robust to arbitrary perturbations
- Holographic Quantum Scars
- Embedding Quantum Many-Body Scars into Decoherence-Free Subspaces
- Asymptotic Quantum Many-Body Scars
- Krylov Delocalization/Localization across Ergodicity Breaking
- Preparing quantum many-body scar states on quantum computers
- Quantum Many-Body Scars in Dual-Unitary Circuits
- Prethermalization and the local robustness of gapped systems
- Quantum many-body scars in spin models with multibody interactions
- Bridging quantum criticality via many-body scarring
- Numerical Methods for Detecting Symmetries and Commutant Algebras
- Disorder-tunable entanglement at infinite temperature
- Theory of robust quantum many-body scars in long-range interacting systems
- Non-stabilizerness in kinetically-constrained Rydberg atom arrays
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Extracting Quantum Many-Body Scarred Eigenstates with Matrix Product States
- Stability of the many-body scars in fermionic spin-1/2 models
- 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
- Symmetries as Ground States of Local Superoperators: Hydrodynamic Implications
- Majorana Scars as Group Singlets
- Robust quantum many-body scars in the one-dimensional spin-1 Kitaev model
- Quantum Many-Body Scars beyond the PXP model in Rydberg simulators
- Topologically stable ergodicity breaking from emergent higher-form symmetries in generalized quantum loop models
- Normal weak eigenstate thermalization
- Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems
- Eigenstate localization in a many-body quantum system
- Universality classes of thermalization for mesoscopic Floquet systems
- Average pure-state entanglement entropy in spin systems with SU(2) symmetry
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Prethermal stability of eigenstates under high frequency Floquet driving
- Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
- Mobility edges through inverted quantum many-body scarring
- Quantum many-body scars from unstable periodic orbits
- Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
- Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
- Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
- Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
- Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
- Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
- Theory of metastable states in many-body quantum systems
- Quasi-Nambu-Goldstone modes in many-body scar models
- Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
- Slow thermalization and subdiffusion in conserving Floquet random circuits
- Unraveling PXP Many-Body Scars through Floquet Dynamics
- Tower of two-dimensional scar states in a localized system
- Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
- Exact Hidden Markovian Dynamics in Quantum Circuits
- Leveraging static quantum many-body scars into period-doubled responses
- Classical route to ergodicity and scarring in collective quantum systems
- Expedited thermalization dynamics in incommensurate systems
- Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit
- Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
- Krylov complexity in quantum many-body scars of spin-1 models
- Enhanced many-body localization in a kinetically constrained model
- Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
- Measuring energy by measuring any other observable
- Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
- Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
- Thermodynamic phases in first detected return times of quantum many-body systems
- Stabilizer Scars
- Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
- Quantum Chaos in Random Ising Networks
- From the Quantum Breakdown Model to the Lattice Gauge Theory
- Signatures of fragmentation for periodically driven fermions
- Adiabatic time evolution of highly excited states
- Exceptional stationary state in a dephasing many-body open quantum system
- Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory
- Streamlined Krylov construction and classification of ergodic Floquet systems
- Hopf algebras and solvable unitary circuits
- Robust Hilbert space fragmentation in group-valued loop models
- Robust Finite-Temperature Many-Body Scarring on a Quantum Computer
- Random matrix universality in dynamical correlation functions at late times
- Arresting Quantum Chaos Dynamically in Transmon Arrays
- Advantages of quantum communication revealed by the reexamination of hyperbit theory limitations
- Beyond Fermi's golden rule with the statistical Jacobi approximation
- Observing quantum many-body scars in random quantum circuits
- Quantum Fragmentation in the Extended Quantum Breakdown Model
- Integrability breaking and bound states in Google's decorated XXZ circuits
- Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
- Detecting Many-Body Scars from Fisher Zeros
- Ergodicity breaking and deviation from Eigenstate Thermalisation in relativistic QFT
- Non-Markovianity of subsystem dynamics in isolated quantum many-body systems
- Controlling nonergodicity in quantum many-body systems by reinforcement learning
- Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
- Embedding semiclassical periodic orbits into chaotic many-body Hamiltonians
- Exact volume-law entangled zero-energy eigenstates in a large class of spin models
- Bipartite Sachdev-Ye Models with Read-Saleur Symmetries
- Persistent non-Gaussian correlations in out-of-equilibrium Rydberg atom arrays
- Opening Krylov space to access all-time dynamics via dynamical symmetries
- State-dependent mobility edge in kinetically constrained models
- Late-time ensembles of quantum states in quantum chaotic systems
- Boundary dissipative spin chains with partial solvability inherited from system Hamiltonians
- Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
- Hilbert subspace ergodicity
- Quantum Scar States in Coupled Random Graph Models
- Fragmentation, Zero Modes, and Collective Bound States in Constrained Models
- Localized Fock Space Cages in Kinetically Constrained Models
- Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
- Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
- Hilbert space fragmentation from lattice geometry
- Taking the temperature of quantum many-body scars
- Symmetry-induced fragmentation and dissipative time crystal
- Geometric phase and multipartite entanglement of Rydberg atom chains
- Kinetically constrained models constructed from dissipative quantum dynamics
- Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
- Out-of-equilibrium Eigenstate Thermalization Hypothesis
- Spectroscopic Feature of Quantum Many-Body Scar States
- Probing Hilbert space fragmentation using controlled dephasing
- Mass-Assisted Local Deconfinement in a Confined Lattice Gauge Theory
- Dynamics in the presence of local symmetry-breaking impurities
- ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
- Persistent revivals in a system of trapped bosonic atoms
- Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
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