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arXiv · 1911.11305

New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states

Daniel K. Mark·Cheng-Ju Lin·Olexei I. Motrunich
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Abstract

We study a model of Rydberg atoms in a nearest-neighbor Rydberg blockaded regime, introduced by Lesanovsky in Phys. Rev. Lett. 108, 105301 (2012). This many-body model (which has one parameter $z$) has an exactly known gapped liquid ground state, and two exactly known low-lying excitations. We discover two new exact low-lying eigenstates. We also discuss behavior of the model at small parameter $z$ and its proximity to an integrable model. Lastly, we discuss connections between the Lesanovsky model at intermediate $z$ and so-called PXP model. The PXP model describes a recent experiment that observed unusual revivals from a charge density wave initial state, which are attributed to a set of many-body "scar states" which do not obey the eigenstate thermalization hypothesis. We discuss the possibility of scar states in the Lesanovsky model and present two approximations for them.

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Daniel K. Mark, Cheng-Ju Lin, Olexei I. Motrunich. 2020-05-20. New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states. https://doi.org/10.1103/physrevb.101.094308

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