Three-dimensional lattice of ion traps

We propose an ion trap configuration that, by symmetry, is three-dimensionally frequency degenerate. This fundamental trap configuration can be stacked together in a three-dimensional simple cubic arrangement. The isolated trap, as well as the extended array of ion traps, is characterized for different locations in the lattice, illustrating the robustness of the lattice of traps concept. The ease of addressing the ions at each lattice site, individually or simultaneously, makes this system naturally suitable for a number of experiments. Application of this trap to precision spectroscopy, quantum information processing, and the study of few-particle interacting systems are discussed.