Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models
arXiv:2104.00699 · doi:10.1103/PhysRevResearch.3.033201
Abstract
Eigenstate Thermalization Hypothesis(ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. Recent experiment on 51-atom Rydberg quantum simulator and subsequent theoretical analysis have shown that hardcore kinetic constraint can lead to weak ergodicity breaking. In this work, we demonstrate, using 1d spin-1 PXP chains, that miscellaneous type of ergodicity can be realized by adjusting the hardcore constraints between different components of nearest neighbor spins. This includes ETH violation due to emergent shattering of Hilbert space into exponentially many subsectors of various sizes, a novel form of non-integrability with an extensive number of local conserved quantities and strong ergodicity. We analyze these different forms of ergodicity and study their impact on the non-equilibrium dynamics of a Z2 initial state. We use forward scattering approximation (FSA) to understand the amount of Z2-oscillation present in these models. Our work shows that not only ergodicity breaking but an appropriate choice of constraints can lead to restoration of ergodicity as well.
References in corpus (53)
- 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
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- The many-body localization phase transition
- Quantum many-body scars
- Local conservation laws and the structure of the many-body localized states
- The approach to thermal equilibrium in quantized chaotic 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
- Localization protected quantum order
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- 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
- 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
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Hilbert-Space Fragmentation from Strict Confinement
- Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
- Onsager's Scars in Disordered Spin Chains
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Nonthermal states arising from confinement in one and two dimensions
- Collapse and revival of quantum many-body scars via Floquet engineering
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Eta-pairing states as true scars in an extended Hubbard Model
- Real Time Dynamics and Confinement in the Schwinger-Weyl lattice model for 1+1 QED
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Systematic construction of scarred many-body dynamics in 1D lattice models
- 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 in a Landau Level on a Thin Torus
- Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
- Dynamics of the vacuum state in a periodically driven Rydberg chain
- Glassy dynamics in a disordered Heisenberg quantum spin system
- Exact Floquet quantum many-body scars under Rydberg blockade
- Stabilizing two-dimensional quantum scars by deformation and synchronization
- Entanglement, combinatorics and finite-size effects in spin-chains
- Many-body scar state intrinsic to periodically driven system: Rigorous results
- Frustration-induced emergent Hilbert space fragmentation
- Restoring coherence via aperiodic drives in a many-body quantum system
- Strong ergodicity breaking due to local constraints in a quantum system
- Area-law entangled eigenstates from nullspaces of local Hamiltonians
- Quantum many-body scars with chiral topological order in 2D and critical properties in 1D