Exact Floquet quantum many-body scars under Rydberg blockade
arXiv:2004.04431 · doi:10.1103/PhysRevResearch.2.033284
Abstract
Quantum many-body scars have attracted much interest as a violation of the eigenstate thermalization hypothesis (ETH) due to recent experimental observation in Rydberg atoms and related theoretical studies. In this paper, we construct a model hosting exact Floquet quantum many-body scars, which violate the Floquet version of ETH. We consider two uniformly-driven static Hamiltonians prohibiting neighboring up spins (Rydberg blockade) like the PXP model, and construct a binary drive composed of them. We show that there exists a four-dimensional subspace which completely avoids thermalization to infinite temperature and that any other states, including some special scar states reported in the static PXP model, are vulnerable to heating and relax to infinite temperature. We also construct a more generalized periodic drive composed of time-dependent PXP-type Hamiltonians showing exact Floquet quantum many-body scars and discuss possible experimental realization of the model in Rydberg atoms.
arXiv comment17 pages, 4 figures
References in corpus (39)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Localization of interacting fermions at high temperature
- Observation of a Discrete Time Crystal
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Quantum many-body scars
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Discrete time crystals: rigidity, criticality, and realizations
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
- 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
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- 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
- Collapse and revival of quantum many-body scars via Floquet engineering
- Chiral Floquet Phases of Many-body Localized Bosons
- Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
- Dynamical scar states in driven fracton systems
- Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Defining Time Crystals via Representation Theory
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- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Observation of many-body scarring in a Bose--Hubbard quantum simulator
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
- Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
- Correspondence principle for many-body scars in ultracold Rydberg atoms
- A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
- Group theoretic approach to many-body scar states in fermionic lattice models
- Minimal model for Hilbert space fragmentation with local constraints
- Quantum and classical Floquet prethermalization
- Analytic approaches to periodically driven closed quantum systems: Methods and Applications
- Scars from protected zero modes and beyond in quantum link and quantum dimer models
- Driving quantum many-body scars in the PXP model
- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- The fate of quantum many-body scars in the presence of disorder
- Area-law entangled eigenstates from nullspaces of local Hamiltonians
- Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
- Discrete time crystals enforced by Floquet-Bloch scars
- Optimal steering of matrix product states and quantum many-body scars
- Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
- Asymptotic Quantum Many-Body Scars
- Bridging quantum criticality via many-body scarring
- Strong Hilbert space fragmentation via emergent quantum drums in two dimensions
- Weak universality, quantum many-body scars and anomalous infinite-temperature autocorrelations in a one-dimensional spin model with duality
- Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
- Stability of the many-body scars in fermionic spin-1/2 models
- Majorana Scars as Group Singlets
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Entanglement dynamics and phase transitions of the Floquet cluster spin chain
- Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
- Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
- Classical route to ergodicity and scarring in collective quantum systems
- Dynamic renormalization group theory for open Floquet systems
- Exact many-body scars based on pairs or multimers in a chain of spinless fermions
- Hopf algebras and solvable unitary circuits
- Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
- Tangent space generators of matrix product states and exact Floquet quantum scars
- Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
- Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
- Scar-induced imbalance in staggered Rydberg ladders
- Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
- Exact volume-law entangled zero-energy eigenstates in a large class of spin models
- Controlling nonergodicity in quantum many-body systems by reinforcement learning
- Engineering subharmonic responses beyond prethermalization via Floquet scar states
- Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
- Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
- Time crystal embodies chimeralike state in periodically driven quantum spin system
- Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
- Engineering micromotion in Floquet prethermalization via space-time symmetries
- Quantum dynamics of a spin model with an extensive degeneracy
- 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
- Entanglement dynamics and ergodicity breaking in a quantum cellular automaton
- Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
- Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models