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arXiv · 2003.04516

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

Cheng-Ju Lin·Vladimir Calvera·Timothy H. Hsieh
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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.

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Cheng-Ju Lin, Vladimir Calvera, Timothy H. Hsieh. 2020-03-10. Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays. https://doi.org/10.1103/physrevb.101.220304

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