Symmetric tensor scars with tunable entanglement from volume to area law

• URL: http://arxiv.org/abs/2501.14024v2
• Date: Thu, 06 Feb 2025 15:33:14 GMT
• Title: Symmetric tensor scars with tunable entanglement from volume to area law
• Authors: Bhaskar Mukherjee, Christopher J. Turner, Marcin Szyniszewski, Arijeet Pal,
• Abstract summary: We study the construction of highly energetic eigenstates with tunable long-range entanglement. We find many exact zero-energy eigenstates for a class of non-integrable spin-1/2 Hamiltonians with two-body correlations. 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.
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• 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, and by tuning the distribution of triplets we induce extensive, logarithmic, or area-law entanglement. 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.

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