Trimer Dynamics in Floquet-driven arrays of Rydberg Atoms

TL;DR

This paper investigates the dynamics of trimers in Floquet-driven Rydberg atom arrays, deriving corrections to the effective spin model, and explores how to realize mobile three-body bound states with potential experimental implementation.

Contribution

It introduces a detailed analysis of higher-order Floquet effects on Rydberg arrays, showing how to engineer and control mobile trimer states in these systems.

Findings

Higher-order Floquet terms enable trimer mobility.

Optimal pulse timing enforces magnetization conservation.

Higher-dimensional lattices suppress detrimental effects.

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 (\emph{trimers}), which gain a significant mobility. We estimate the corresponding enhancement in 1D 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 time-scales slower than the trimer propagation. Moreover, these can be suppressed in higher dimensional lattices, e.g. in 2D triangular lattices, as the lattice geometry brings these processes off resonance. Our results establish a concrete route to realizing mobile multiparticle bound states in Floquet-engineered Rydberg platforms.