Fig. 4. Scaling to larger system size.

Time evolution (light blue) and cumulative time average (orange) of 〈C〉 with false color images of the 22-ion chain, where the brightness of each ion is determined by the value of $\langle {\mathrm{\sigma }}_{\mathit{i}}^{\mathit{z}}\rangle$. The ions fluoresce during detection when in the | ↑ 〉_z state (top image). We initialize the spins with a single spin excitation on the left end (middle image). After evolving for 36 J_max, the spin excitation is delocalized, but its average position remains on the left half of the chain (bottom image). Effective range of the interaction is α ≈ 0.9. Error bars, 1 SD.