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Squeezing Quantum Many-Body Scars.

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We analytically describe quantum many-body scars in PXP models by mapping them to chiral scattering problems. Spin squeezing initial states enhances scar signatures in various lattices, aiding Rydberg atom array experiments.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Quantum information science

Background:

  • Quantum many-body scars are non-ergodic eigenstates in interacting quantum systems.
  • The PXP model exhibits scar states, but analytical descriptions remain challenging.
  • Understanding scar dynamics is crucial for quantum simulation and computation.

Purpose of the Study:

  • To develop an analytical framework for describing quantum many-body scars in PXP models.
  • To identify methods for enhancing the dynamical signatures of these scars.
  • To explore the applicability of these findings to realistic experimental systems.

Main Methods:

  • Analytical solution of a one-dimensional chiral scattering problem derived from the PXP model on a complete bipartite graph.
  • Numerical simulations to verify the analytical predictions and explore different lattice geometries.
  • Investigation of spin-squeezed initial states for enhancing scar dynamics.

Main Results:

  • The scarred dynamics in the PXP model on a complete bipartite graph were successfully mapped to and solved as a chiral scattering problem.
  • Spin squeezing of initial states was predicted and numerically confirmed to enhance dynamical scar signatures.
  • The stabilization mechanism was shown to be applicable to one- and two-dimensional lattices relevant for Rydberg atom arrays.

Conclusions:

  • The analytical approach provides a new perspective on quantum many-body scars in PXP models.
  • Spin squeezing offers a practical method to enhance observable scar phenomena in experiments.
  • The findings bridge theoretical models with experimental capabilities in Rydberg atom systems.