  Para-particles are fascinating because they are neither bosons nor fermions.
While unlikely to be found in nature, they might represent accurate
descriptions of physical phenomena like topological phases of matter. We report
the quantum simulation of para-particle oscillators by tailoring the native
couplings of two orthogonal motional modes of a trapped ion. Our system
reproduces the dynamics of para-bosons and para-fermions of even order very
accurately. These results represent the first experimental analogy of
para-particle dynamics in any physical system and demonstrate full control of
para-particle oscillators.
