New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states
arXiv:1911.11305 · doi:10.1103/PhysRevB.101.094308
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 ) 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 and its proximity to an integrable model. Lastly, we discuss connections between the Lesanovsky model at intermediate 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.
arXiv comment14 pages, 8 figures v2: final version as appears in Phys. Rev. B 101, 094308 (2020)
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