PREPARATION OF 2-MODE NONCLASSICAL STATES IN AN ION-TRAP BY A QUANTIZED LASER-BEAM

Based on the former quantum-mechanical study on the effective harmonic trap confining an ultracold ion, we make a quantum-mechanical treatme nt for the radiation field of the laser. Thus some two-mode nonclassic al states, i.e., an approximate two-mode squeezed state and different two-mode entangled Fock states can be prepared in the red- and blue-de tuning cases, respectively, within Lamb-Dicke regime and strong confin ement limit.