Exact many-body scars and their stability in constrained quantum chains
arXiv:2011.08218 · doi:10.1103/PhysRevB.103.104302
Abstract
Quantum scars are non-thermal eigenstates characterized by low entanglement entropy, initially detected in systems subject to nearest-neighbor Rydberg blockade, the so called PXP model. While most of these special eigenstates elude an analytical description and seem to hybridize with nearby thermal eigenstates for large systems, some of them can be written as matrix product states (MPS) with size-independent bond dimension. We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size. We find that some of them are anomalously stable at first order in perturbation theory, in sharp contrast to the eigenstate thermalization hypothesis. However, this stability seems to breakdown when all orders are taken into account. We further investigate models with larger blockade radius and find a novel set of exact quantum scars, that we write down analytically and compare with the PXP exact eigenstates. We show that they exhibit the same robustness against perturbations at first order.
15 pages, 8 figures
References in corpus (47)
- 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
- 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
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Universal dynamics and renormalization in many body localized systems
- 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
- 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
- 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
- Competing density-wave orders in a one-dimensional hard-boson model
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Review: Local Integrals of Motion in Many-Body Localized 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
- Onsager's Scars in Disordered Spin Chains
- Interacting Fibonacci anyons in a Rydberg gas
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
- Quantum Many-Body Scars in Optical Lattices
- Systematic construction of scarred many-body dynamics in 1D lattice models
- Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
- Exact three-colored quantum scars from geometric frustration
- Dynamical scar states in driven fracton systems
- Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
- Topological many-body scar states in dimensions 1, 2, and 3
- Quantum many-body scars from virtual entangled pairs
- Slow quantum thermalization and many-body revivals from mixed phase space
- Quantum Many-body Scars in a Landau Level on a Thin Torus
- Quantum scars of bosons with correlated hopping
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Many-Body Spectral Reflection Symmetry and Protected Infinite-Temperature Degeneracy
- Liquid ground state, gap and excited states of a strongly correlated spin chain
- Fidelity susceptibility in Gaussian Random Ensembles
- Energy level dynamics across the many-body localization transition
- From compact localized states to many-body scars in the random quantum comb
- New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states
- Weak-ergodicity-breaking via lattice supersymmetry
- Adiabatic landscape and optimal paths in ergodic systems
- Emergent conservation laws and nonthermal states in the mixed-field Ising model
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- Quantum Information Scrambling in Quantum Many-body Scarred Systems
- Constraints induced delocalization
- Weak integrability breaking perturbations of integrable models
- Quantum criticality and universality in the -wave paired Aubry-André-Harper model
- Observation of quantum thermalization restricted to Hilbert space fragments
- Quantum Many-Body Scars in Spin-1 Kitaev Chains
- Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space
- Asymptotic Quantum Many-Body Scars
- Composite Spin Approach to the Blockade Effect in Rydberg Atom Arrays
- Theory of robust quantum many-body scars in long-range interacting systems
- 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
- Quantum Many-Body Scars beyond the PXP model in Rydberg simulators
- Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
- Multimagnon dynamics and thermalization in the easy-axis ferromagnetic chain
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
- Stability of scar states in 2D PXP model against random disorders
- Theory of metastable states in many-body quantum systems
- Number of zero-energy eigenstates in the PXP model
- Adiabatic time evolution of highly excited states
- Scar-induced imbalance in staggered Rydberg ladders
- Eigenstate thermalization and disappearance of quantum many-body scar states in interacting fermion systems
- Exact volume-law entangled zero-energy eigenstates in a large class of spin models
- Fragmentation, Zero Modes, and Collective Bound States in Constrained Models
- Weak ergodicity breaking transition in randomly constrained model
- Slow melting of a disordered quantum crystal
- Geometric fragmentation and anomalous thermalization in cubic dimer model
- Quantum local random networks and the statistical robustness of quantum scars
- Unsupervised detection of decoupled subspaces: many-body scars and beyond
- Dynamics of antiferromagnetic Dimers in Rydberg Atom Chains
- Tighter thermalization bounds for perturbed quantum many-body scars
- Gaussian state approximation of quantum many-body scars
- Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models
- Robust quantum many-body scars in lattice gauge theories
- Periodic revivals from supersymmetry in a fermionic kinetically constrained model
- Quantum many-body scarring from Kramers-Wannier duality
- Additional quantum many-body scars of the spin- model with Fock-space cages and commutant algebras
- Quantum transitions, ergodicity, and quantum scars in the coupled top model
- Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory