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Scar-induced imbalance in staggered Rydberg ladders

Mainak Pal1, Madhumita Sarkar2, K. Sengupta1, and Arnab Sen1

Phys. Rev. B 111, L161101 – Published 2 April, 2025

DOI: https://doi.org/10.1103/PhysRevB.111.L161101

Abstract

We demonstrate that the kinematically constrained model of Rydberg atoms on a two-leg ladder with staggered detuning, Δ∈[0,1], has quantum many-body scars (QMBSs) in its spectrum and represents a nonperturbative generalization of the paradigmatic PXP model defined on a chain. We show that these QMBSs result in coherent many-body revivals and site-dependent magnetization dynamics for both Néel and Rydberg vacuum initial states around Δ=1. The latter feature leads to eigenstate thermalization hypothesis (ETH)-violating finite imbalance at long times in a disorder-free system. This is further demonstrated by constructing appropriate local imbalance operators that display nonzero long-time averages for Néel and vacuum initial states. We also study the fidelity and Shannon entropy for such dynamics which, along with the presence of long-time finite imbalance, brings out the qualitatively different nature of QMBSs in PXP ladders with Δ∼1 from those in the PXP chain. Finally, we identify additional exact midspectrum zero modes that stay unchanged as a function of Δ and violate ETH.

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