Symmetric tensor scars with tunable entanglement from volume to area law
arXiv:2501.14024 · doi:10.1103/v8rf-p5zc
Abstract
Teleportation of quantum information over long distances requires robust entanglement on the macroscopic scale. The construction of highly energetic eigenstates with tunable long-range entanglement can provide a new medium for information transmission. Using a symmetric superposition of the antipodal triplet states, we construct polynomially many exact zero-energy eigenstates for a class of non-integrable spin-1/2 Hamiltonians with two-body interactions. These states exhibit non-thermal correlations, hence, are genuine quantum many-body scars. By tuning the distribution of triplets we induce extensive, logarithmic, or area-law entanglement, and can observe a second-order entanglement phase transition. Quasiparticle excitations in this manifold converge to be exact quantum many-body scars in the thermodynamic limit. This framework has a natural extension to higher dimensions, where entangled states controlled by lattice geometry and internal symmetries can result in new classes of correlated out-of-equilibrium quantum matter. Our results provide a new avenue for entanglement control and quantum state constructions.
arXiv comment14 pages, 4 figures, 1 table
References in corpus (56)
- 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
- Eternal Black Holes in AdS
- Quantum many-body scars
- An RVB phase in the triangular lattice quantum dimer model
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Many-body localization: an introduction and selected topics
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Theory of the phase transition in random unitary circuits with measurements
- Measurement-induced criticality in random quantum circuits
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Unitary-projective entanglement dynamics
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Localization protected quantum order
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
- 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
- Exact Excited States of Non-Integrable Models
- Entanglement transition from variable-strength weak measurements
- Emergent statistical mechanics of entanglement in random unitary circuits
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Entanglement Transitions from Holographic Random Tensor Networks
- Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Local Operators in the Eternal Black Hole
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Violation of area-law scaling for the entanglement entropy in spin 1/2 chains
- Exact three-colored quantum scars from geometric frustration
- How to Build the Thermofield Double State
- Correspondence principle for many-body scars in ultracold Rydberg atoms
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
- Many-Body Spectral Reflection Symmetry and Protected Infinite-Temperature Degeneracy
- Entanglement over the rainbow
- From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Area-law entangled eigenstates from nullspaces of local Hamiltonians
- Topological Quantum Many-Body Scars in Quantum Dimer Models on the Kagome Lattice
- Categorical Quantum Circuits
- Quantum many-body scars with chiral topological order in 2D and critical properties in 1D
- Quantum scars and bulk coherence in a symmetry-protected topological phase
- Crosscap States in Integrable Field Theories and Spin Chains
- Asymptotic Quantum Many-Body Scars
- Preparing quantum many-body scar states on quantum computers
- Quantum many-body scars in spin models with multibody interactions
- Disorder-tunable entanglement at infinite temperature
- Weak universality, quantum many-body scars and anomalous infinite-temperature autocorrelations in a one-dimensional spin model with duality
- Exact Thermal Eigenstates of Nonintegrable Spin Chains at Infinite Temperature
- Volume-entangled exact scar states in the PXP and related models in any dimension
- An algorithm to explore entanglement in small systems
- Exact volume-law entangled zero-energy eigenstates in a large class of spin models
- Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo