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Regular and chaotic motions of a single Paul-trapped ion interacting with double-δ-kicked pulses

Chen Wen-Qin Hai Wen-Hua Song Jian-Wen

Regular and chaotic motions of a single Paul-trapped ion interacting with double-δ-kicked pulses

Chen Wen-Qin, Hai Wen-Hua, Song Jian-Wen
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  • Abstract views:  3939
  • PDF Downloads:  688
  • Cited By: 0
Publishing process
  • Received Date:  30 May 2007
  • Accepted Date:  03 July 2007
  • Published Online:  20 March 2008

Regular and chaotic motions of a single Paul-trapped ion interacting with double-δ-kicked pulses

  • 1. (1)湖南师范大学物理系,长沙 410081; (2)湖南师范大学物理系,长沙 410081;华南热带农业大学基础学院,儋州 571737

Abstract: We investigate the regular and chaotic motions of a single Paul-trapped ion under the pseudopotential approximation, which interacts with a double-δ-kicked periodic potential. We apply the method of integral-equation to construct the exact solution of the classical equation and use the numerical technique to plot the orbits in phase space and the time evolutions of average energies. Combining the analytical results with the numerical ones, we arrived at two interesting conclusions: Firstly, there are regular stable motions of the double δ-kicked system,at variance with the resonance case of the corresponding single δ-Kicked system. Secondly, when the time interval between the double δ pulses becomes shorter, the regular motion of the system becomes chaotic, and the speed of classical diffusion of the average energy is related to the degree of chaos. It is shown that the resonance may lead to loss of stability and the instability can be controlled by adjusting the laser wave vector.

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