Generation of Two-Mode Nonclassical States via Dispersive Interaction in Trapped-Ion Cavity Quantum Electrodynamics

We propose a simple method to generate a practical SU(2)-Schrödinger-cat state of a single trapped-ion vibration mode and the light field state, using the method based on a quantum system, which is composed of the one-dimensional trapped-ion motion and a single cavity field mode. Moreover, we discuss the methods proposed so far for the generation two-mode maximal quantum entangled state. The detection of such a state is also briefly discussed.