PREPARATION OF TWO-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 treatment for the radiation field of the laser. Thus some two-mode nonclassical states, i.e., an approximate two-mode squeezed state and different two-mode entangled Fock states can be prepared in the red- and blue-detuning cases, respectively, within Lamb-Dicke regime and strong confinement limit.