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Trimer dynamics in Floquet-driven arrays of Rydberg atoms

Edoardo Tiburzi1,2, Lorenzo Maffi1,2, Luca Dell'Anna1,2,3, and Marco Di Liberto1,2,3

Phys. Rev. A 114, 032610 – Published 14 September, 2026

DOI: https://doi.org/10.1103/pn45-bxlh

Abstract

We analyze the WAHUHA Floquet protocol recently applied to arrays of Rydberg atoms and derive beyond-leading-order corrections in the high-frequency expansion of the effective spin theory. We find that an appropriate choice of the pulses times can enforce an approximate symmetry corresponding to the conservation of the total magnetization. The interaction channels emerging from higher-order Floquet terms affect three-body bound states (trimers), which gain a significant mobility. We estimate the corresponding enhancement in one-dimensional spin chains and conclude that their dynamics is within experimental reach. Detrimental effects due to the proliferation of particles outside of the trimer magnetization sector are found to occur and spread on timescales slower than the trimer propagation. We further show that long-range interactions enhance trimer propagation and that two-dimensional triangular geometries can host energetically isolated trimer bands, providing a possible route to reduce resonant mixing with higher-magnetization sectors. Our results establish a concrete route to realizing mobile multiparticle bound states in Floquet-engineered Rydberg platforms.

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