English

Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays

Quantum Gases 2020-07-01 v2 Statistical Mechanics Quantum Physics

Abstract

We find exponentially many exact quantum many-body scar states in a two-dimensional PXP model -- an effective model for a two-dimensional Rydberg atom array in the nearest-neighbor blockade regime. Such scar states are remarkably simple valence bond solids despite being at effectively infinite temperature, and thus strongly violate the eigenstate thermalization hypothesis. Given a particular boundary condition, such eigenstates have integer-valued energies. Moreover, certain charge-density-wave initial states give rise to strong oscillations in the Rydberg excitation density after a quantum quench and tower-like structures in their overlaps with eigenstates.

Keywords

Cite

@article{arxiv.2003.04516,
  title  = {Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays},
  author = {Cheng-Ju Lin and Vladimir Calvera and Timothy H. Hsieh},
  journal= {arXiv preprint arXiv:2003.04516},
  year   = {2020}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-23T14:09:39.415Z