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Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays (2003.04516v2)

Published 10 Mar 2020 in cond-mat.quant-gas, cond-mat.stat-mech, and quant-ph

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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