Preparation And Properties Of Nonclassical States In Trapped Ion Systems

Doppler effect and sideband cooling effect was achieved a trapping of individual particles, so that preparation and manipulation of t he single particle state become a reality. Base on this research, laser can be used to manipulate internal and external degrees of freedom of a single particles, information coding and quantum information processing on a single particle single-photon level has important significance and application prospects.This paper describes the preparation of non-classical quantum states in the a trapped ion systems. On the base of describing the physics theoretical model of the trapped ion, a new scheme is employed for generation of the two-mode vacuum squeezed state for a two-dimensional harmonic motion of trapped ion with a strong decay of excited states, without the preparation of initial state of the trapped ion, this state-preparation methods typically rest on coherent interactions of trapped ion with lasers and dual-mode coupling that are appropriately adjusted to laser frequency only one time; Then the realization of nonlinear squeezed state is studied for a laser-driven of three-level trapped ion in a V configuration, and the pure quantum states which fulfill this requirement will be constructed as the solutions of a special eigenvalue problem, which can solve analysis wave-function of external vibratory trapped ion. Compared with two-mode vacuum squeezed state, it found that when the state of the squeezed coefficient is relatively small, the increase of the quadrature squeezing comes with the increases of nonlinear intensity; when the squeezed coefficient is large, the quadrature squeezing is determined by the squeezing factor, impact of nonlinear characteristics of squeezing are hidden because of strong squeezing.