Multi-magnon quantum many-body scars from tensor operators
arXiv:2110.11448 · doi:10.1103/PhysRevResearch.4.043006
Abstract
We construct a family of three-body spin-1/2 Hamiltonians with a super-extensive set of infinitely long-lived multi-magnon states. A magnon in each such state carries either quasi-momentum zero or fixed 0, and energy . These multi-magnon states provide an archetypal example of quantum many-body scars: they are eigenstates at finite energy density that violate the eigenstate thermalization hypothesis, and lead to persistent oscillations in local observables in certain quench experiments. On the technical side, we demonstrate the systematic derivation of scarred Hamiltonians that satisfy a restricted spectrum generating algebra using an operator basis built out of irreducible tensor operators. This operator basis can be constructed for any spin, spatial dimension or continuous non-Abelian symmetry that generates the scarred subspace.
arXiv comment22 pages, 6 figures. The current version has an expanded discussion about the spherical tensor basis
References in corpus (62)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum many-body scars
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- 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
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Non-stationary coherent quantum many-body dynamics through dissipation
- 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
- 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
- Onsager's Scars in Disordered Spin Chains
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Aspects of non-equilibrium in classical and quantum systems: slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics
- 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 Many-Body Scars in Optical Lattices
- 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
- Emerging 2D Gauge theories in Rydberg configurable arrays
- Exact three-colored quantum scars from geometric frustration
- 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
- A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
- Quasi-symmetry groups and many-body scar dynamics
- Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
- Quantum scars of bosons with correlated hopping
- Catching Bethe phantoms and quantum many-body scars: Long-lived spin-helix states in Heisenberg magnets
- Group theoretic approach to many-body scar states in fermionic lattice models
- Rainbow Scars: From Area to Volume Law
- Clustering of non-ergodic eigenstates in quantum spin glasses
- Frustration-induced emergent Hilbert space fragmentation
- Revivals imply quantum many-body scars
- Quantum Many-Body Scars and Quantum Criticality
- Orthogonal Quantum Many-body Scars
- Synthesizing three-body interaction of spin chirality with superconducting qubits
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
- From compact localized states to many-body scars in the random quantum comb
- Quantum many-body scars with chiral topological order in 2D and critical properties in 1D
- Quantum Many-Body Scars in Spin-1 Kitaev Chains
- Quantum scars and bulk coherence in a symmetry-protected topological phase
- Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space
- Slow Nonthermalizing Dynamics in a Quantum Spin Glass
- Motif magnetism and quantum many-body scars
- Scar states in a system of interacting chiral fermions
- Multimagnon dynamics and thermalization in the easy-axis ferromagnetic chain
- Disorder enhanced quantum many-body scars in Hilbert crystals
- Composition of many spins, random walks and statistics
Cited by in corpus (20)
- Probing quantum scars and weak ergodicity-breaking through quantum complexity
- Group theoretic approach to many-body scar states in fermionic lattice models
- Error-Mitigated Simulation of Quantum Many-Body Scars on Quantum Computers with Pulse-Level Control
- Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
- Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
- Asymptotic Quantum Many-Body Scars
- Preparing quantum many-body scar states on quantum computers
- Quantum many-body scars in spin models with multibody interactions
- Stability of the many-body scars in fermionic spin-1/2 models
- Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
- Majorana Scars as Group Singlets
- Leveraging static quantum many-body scars into period-doubled responses
- Classical route to ergodicity and scarring in collective quantum systems
- Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
- Exact volume-law entangled zero-energy eigenstates in a large class of spin models
- Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
- Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
- Certain BCS wavefunctions are quantum many-body scars
- Unconventional superconducting correlations in fermionic many-body scars
- Additional quantum many-body scars of the spin- model with Fock-space cages and commutant algebras