Figure 1

Engineering spin-spin interactions. (a), (b) Level scheme and setup for a possible implementation of spin-spin interactions in ¹⁷¹Yb⁺. (c), (d) Interaction strengths $J_{ij}$ between one ion in the center and the other ions, for (c) $N=20$ or (d) $N=200$, and different detunings from the center-of-mass (COM) mode. We have used the parameters specified in (b). Interactions are compared with the interactions of the Haldane-Shastry (HS) model (brown lines), and with $1/r^3$ interactions (green lines).