The nonlinear resonant response of a bound electron to a time-varying
spatially inhomogeneous electric field was studied experimentally. By
use of the artificial atom ''geonium'' (an electron bound in a Penning
trap), we observed up to ninth-order multipole (pentacosiododecapole)
coherent excitation of the electron's magnetron motion, and up to thi
rd-order (octupole) excitation of the cyclotron motion. Also, by apply
ing two fields simultaneously, we have observed coherent stimulated Ra
man excitation of the electron's motion.