  We study the transverse-field Ising model with interactions that are
modulated in time. In a rotating frame, the system is described by a
time-independent Hamiltonian with many-body interactions, similar to the
cluster Hamiltonians of measurement-based quantum computing. In one dimension,
there is a three-body interaction, which leads to string order instead of
conventional magnetic order. We show that the string order is robust to
power-law interactions that decay with the cube of distance. In two and three
dimensions, there are five- and seven-body interactions. We discuss adiabatic
preparation of the ground state as well as experimental implementation with
trapped ions, Rydberg atoms, and polar molecules.
