Generation of Superpositions of SU(1,1) Coherent States for the Motion of a Trapped Ion

Shi‐Biao Zheng, Guang‐Can Guo

Shi‐Biao Zheng

Shi‐Biao Zheng

A scheme is presented for the generation of superpositions of two two-mode SU(2) coherent states of the motion for a trapped ion. In the scheme an ion is trapped in a two-dimensional isotropic harmonic potential and driven by two resonant laser beams. Under certain conditions, the motional two-mode SU(2) cat state can be generated after a conditional measurement on the internal state following the ion-laser interaction.

Masashi Ban

Shi‐Biao Zheng

A scheme is proposed for generating motional pair coherent states of an ion in a two-dimensional anisotropic trap. In the scheme the ion is excited by two laser beams in the x - y plane. Under certain conditions, the system finally reaches the steady state given by the product of the ground electronic state with the motional pair coherent state. The scheme can be generalized to prepare pair cat states and two-mode SU (1,1) intelligent states in a two-dimensional anisotropic trap.

Zhong-Jie Wang Zhong-Jie Wang, Chao-Yang Fan Chao-Yang Fan

We have studied the intensity squeezing of superposition state of excited coherent states and proposed a new method to prepare superposition state of excited coherent states of vibrational motion of trapped ion. This method is based on the interaction of a single trapped ion with two traveling wave light fields with different frequencies. An obvious merit of this method is that it works without application of the perturbation theory.