Fig. 4.

Scheme for generating an XXZ spin Hamiltonian using a stroboscopic evolution. The scheme contains periodic applications of a multifrequency Raman field to induce the $H_{XY}$ interaction (in green), two fast microwave pulses (or optical two-photon transition) forming $H_{mw}$ that uniformly rotate the spin basis $\left\{{|g\rangle }_n,{|s\rangle }_n\right\}\leftrightarrow \left\{\left({|g\rangle }_n+{|s\rangle }_n\right)/\sqrt{2},\left({|g\rangle }_n-{|s\rangle }_n\right)/\sqrt{2}\right\}$ back and forth (in blue), and a butterfly-like pumping scheme that applies $H_{ZZ}$ in the rotated basis.