Volume-entangled exact scar states in the PXP and related models in any dimension
arXiv:2403.05515 · doi:10.1103/PhysRevLett.134.050403
Abstract
In this Letter, we report first exact volume-entangled Einstein-Podolsky-Rosen--type scar states hosted by PXP and related Hamiltonians corresponding to various geometric configurations of Rydberg-blockaded atom systems, including the most extensively studied ones such as the chain with periodic boundary conditions (PBCs) and square lattice. We start by introducing a new zero-energy eigenstate of the PBC chain and proceed by generalizing it to a wide variety of geometries and Hamiltonians. We point out the potential experimental relevance of our states by providing a protocol for their preparation on near-term Rydberg quantum devices, which relies only on strictly local measurements and evolution under native Hamiltonians. We also demonstrate the utility of these states for the study of quantum dynamics by describing a protocol for measuring infinite-temperature out-of-time-order correlator functions.
5+19 pages, 3+11 figures
References in corpus (26)
- Probing many-body dynamics on a 51-atom quantum simulator
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Preparing random states and benchmarking with many-body quantum chaos
- Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
- Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
- How to Build the Thermofield Double State
- Exact many-body scars and their stability in constrained quantum chains
- Benchmarking highly entangled states on a 60-atom analog quantum simulator
- Superdiffusive Energy Transport in Kinetically Constrained Models
- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- Area-law entangled eigenstates from nullspaces of local Hamiltonians
- Quantum Information Scrambling in Quantum Many-body Scarred Systems
- Quantum many-body scars in bipartite Rydberg arrays originate from hidden projector embedding
- Benchmarking Quantum Simulators using Ergodic Quantum Dynamics
- Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
- Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
- Fractionalization paves the way to local projector embeddings of quantum many-body scars
- Constructing quantum many-body scar Hamiltonians from Floquet automata
- Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
- Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
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- Non-stabilizerness in kinetically-constrained Rydberg atom arrays
- Uncovering Quantum Many-body Scars with Quantum Machine Learning
- Scar-induced imbalance in staggered Rydberg ladders
- Exact volume-law entangled zero-energy eigenstates in a large class of spin models
- Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation
- Symmetric tensor scars with tunable entanglement from volume to area law
- Dynamics of antiferromagnetic Dimers in Rydberg Atom Chains
- Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos
- Additional quantum many-body scars of the spin- model with Fock-space cages and commutant algebras
- Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models
- Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays