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理论物理通讯：英文版

Preparation of Motional Mesoscopic Superpositions of Squeezed Coherent States of N Trapped Ions

YANGWen-Xing, XIEXiao-Tao, LIJia-Hua, CHENChang-Yong

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

A scheme is proposed to generate arbitrary, discrete superpostions of squeezed coherent states of the squeezed center of mass of N trapped ions along a straight line in phase space. The scheme is based on a resonant bichromatic excitation of each trapped ion that generates displacement and squeezing in the vibrational motion conditioned to each internal state. In this paper, we also show that such a method can be used for the engineering of motional quantum states.

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A scheme is proposed to generate arbitrary, discrete superpostions of squeezed coherent states of the squeezed center of mass of N trapped ions along a straight line in phase space. The scheme is based on a resonant bichromatic excitation of each trapped ion that generates displacement and squeezing in the vibrational motion conditioned to each internal state. In this paper, we also show that such a method can be used for the engineering of motional quantum states.
We proposed a scheme for generating arbitrary, discrete superpositions of motional coherent and squeezed coherent states of the quantized center of mass along a straight line in phase space for NNN trapped ions. We also show that such a method can be used for the engineering of motional quantum states. Furthermore, these states should help to examine the dynamics behavior of various systems and might be used for applications in quantum information processing.
Following the recent proposal by Solano E et al. [Phys. Rev. Lett. 87 (2001) 060402] a procedure is proposed to generate arbitrary discrete multicomponent motional coherent and squeezed coherent states of N trapped ions by additionally using a dispersive bichromatic interaction in a long-living and fast way. In this procedure, two lasers in the Raman configuration are tuned quasiresonant and resonant with N two-level ions under different conditions, respectively. Furthermore, we show how the idea can be used for the generation of two-mode SU(2) Schrödinger cat states for the vibrational motion of a single ion trapped in a two-dimensional harmonic potential.