| Abstract: | We propose a scheme to prepare superpositions of several Fock states for the one-dimensional motion of a trapped ion. In the scheme the ion is simultaneously excited by N+1 laser beams, with the nth laser tuned to the nth upper vibrational sideband. After a short interaction time, a measurement of the internal state may project the vibrational motion onto a superposition of the first N+1 Fock states. The scheme can be easily generalized to synthesize entangled states for the two-dimensional ion motion. |
