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).