中国物理B ›› 2009, Vol. 18 ›› Issue (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

张淼, 贾焕玉, 姬晓辉, 司坤   

  1. Institute of Modern Physics and Laboratory of Quantum Opt-electronic Information, Southwest Jiaotong University, Chengdu 610031, China
  • 收稿日期:2008-07-06 修回日期:2008-07-28 出版日期:2009-03-20 发布日期:2009-03-20

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)   

  1. Institute of Modern Physics and Laboratory of Quantum Opt-electronic Information, Southwest Jiaotong University, Chengdu 610031, China
  • Received:2008-07-06 Revised:2008-07-28 Online:2009-03-20 Published:2009-03-20

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摘要： 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 η and coherent state amplitude α increasing. For η= 0.20 and α= 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.

关键词: Schr?dinger cat state, trapped cold ion, Lamb--Dicke approximation, fidelity

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.

Key words: Schr?dinger cat state, trapped cold ion, Lamb--Dicke approximation, fidelity

中图分类号:  (Quantum optics)

  • 42.50.-p
03.65.Ta (Foundations of quantum mechanics; measurement theory) 37.10.De (Atom cooling methods)