Abstract The fidelity of the generated Schr?dinger Cat state (SCS) of a single trapped ion in the Lamb--Dicke approximation is discussed. The results show that the fidelity significantly decreases with the values of Lamb--Dicke parameter $\eta$ and coherent state amplitude $\alpha$ increasing. For $\eta$= 0.20 and $\alpha$= 3, the typical values of experimental parameters, the fidelity is rather low (30%). A scheme for generating the SCS is proposed without making the Lamb--Dike approximation in laser--ion interaction, and the fidelity of the generated SCS is about 99% for the typical values of experimental Lamb--Dicke parameters.
Received: 06 July 2008
Revised: 28 July 2008
Accepted manuscript online:
Zhang Miao(张淼), Jia Huan-Yu(贾焕玉), Ji Xiao-Hui(姬晓辉), and Si Kun(司坤) Generation of Schr?dinger cat state of a single trapped cold ion 2009 Chin. Phys. B 18 1049
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