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Chin. Phys. B, 2009, Vol. 18(3): 1049-1053    DOI: 10.1088/1674-1056/18/3/035
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Generation of Schr?dinger cat state of a single trapped cold ion

Zhang Miao(张淼), Jia Huan-Yu(贾焕玉), Ji Xiao-Hui(姬晓辉), and Si Kun(司坤)
Institute of Modern Physics and Laboratory of Quantum Opt-electronic Information, Southwest Jiaotong University, Chengdu 610031, China
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.
Keywords:  Schr?dinger cat state      trapped cold ion      Lamb--Dicke approximation      fidelity  
Received:  06 July 2008      Revised:  28 July 2008      Accepted manuscript online: 
PACS:  42.50.-p (Quantum optics)  
  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  37.10.De (Atom cooling methods)  

Cite this article: 

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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