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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Robust macroscopic entanglement is crucial for quantum information teleportation over long distances.
  • Highly energetic eigenstates with tunable long-range entanglement offer a potential new medium for information transmission.

Purpose of the Study:

  • To construct exact zero-energy eigenstates for nonintegrable spin-1/2 Hamiltonians.
  • To investigate the entanglement properties and correlations of these novel quantum states.
  • To explore the potential for controlling entanglement and constructing quantum states for quantum technologies.

Main Methods:

  • Utilizing a symmetric superposition of antipodal triplet states.
  • Constructing polynomially many exact zero-energy eigenstates for specific Hamiltonians.
  • Analyzing nonthermal correlations and entanglement scaling (extensive, logarithmic, area-law).

Main Results:

  • Identified genuine quantum many-body scars with nonthermal correlations.
  • Demonstrated tunable entanglement by adjusting triplet distribution, inducing a second-order entanglement phase transition.
  • Showcased convergence of quasiparticle excitations to exact quantum many-body scars in the thermodynamic limit.

Conclusions:

  • The developed framework offers a novel approach for entanglement control and quantum state construction.
  • Results provide a pathway for creating new classes of correlated out-of-equilibrium quantum matter.
  • The framework is extensible to higher dimensions, impacting quantum simulation and quantum computing.