CHINESE JOURNAL OF PHYSICS VOL. 40, NO. 1 FEBRUARY 2002
A scheme is presented for the generation of superpositions of two-mode SU(1,1) coherent states for the motion of a trapped ion. In the scheme an ion is trapped in a two-dimensional harmonic potential and bichromatically driven by two laser beams along the X axis as well as two beams along the Y axis. After the ion-laser interaction, the internal state of the ion would leave the vibrational motion in a superpositon of two SU(1,1) coherent states.
PACS. 42.50.Vk - Mechanical effects of light on atoms, molecules, electrons, and ions.
PACS. 42.50.Dv - Nonclassical field states; squeezed, antibunched, and sub-Poissonian states;
operational definitions of the phase of the field; phase measurements.