Lee, Tony E.Joglekar, Yogesh N.Richerme, Philip2017-04-052017-04-052016Lee, T. E., Joglekar, Y. N., & Richerme, P. (2016). String order via Floquet interactions in atomic systems. Physical Review A, 94(2), 023610.https://hdl.handle.net/1805/12200We 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.enPublisher Policytransverse-field Ising modelstring orderpower-law interactionsArticle