Weak ergodicity breaking transition in randomly constrained model
arXiv:2309.11180 · doi:10.1103/PhysRevB.109.L220301
Abstract
Experiments in Rydberg atoms have recently found unusually slow decay from a small number of special initial states. We investigate the robustness of such long-lived states (LLS) by studying an ensemble of locally constrained random systems with tunable range . Upon varying , we find a transition between a thermal and a weakly non-ergodic (supporting a finite number of LLS) phases. Furthermore, we demonstrate that the LLS observed in the experiments disappear upon the addition of small perturbations so that the transition reported here is distinct from known ones. We then show that the LLS dynamics explores only part of the accessible Hilbert space, thus corresponding to localisation in Hilbert space.
7 pages, 5 figures
References in corpus (33)
- Chaos and Quantum Thermalization
- 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
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Many-body localization edge in the random-field Heisenberg chain
- Quantum many-body scars
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized 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
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Many-Body Localization in a Quasiperiodic System
- Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices
- Quantum chaos challenges many-body localization
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Thouless time analysis of Anderson and many-body localization transitions
- Distinguishing localization from chaos: challenges in finite-size systems
- Many-body spin interactions and the ground state of a dense Rydberg lattice gas
- Challenges to observation of many-body localization
- Localization in fractonic random circuits
- Systematic construction of scarred many-body dynamics in 1D lattice models
- Quantum scars as embeddings of weakly "broken" Lie algebra representations
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Exact many-body scars and their stability in constrained quantum chains
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Strong ergodicity breaking due to local constraints in a quantum system
- Optimal free descriptions of many-body theories
- Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space
- Hopping between localized Floquet states in periodically driven quantum dots
- Quantum Scar States in Coupled Random Graph Models