Abstract: A two-ion system is studied,in which the trapped ions couple to a traveling-wave laser field.The authors analyze the influence aroused by different initial conditions and the trap frequencies as well as interaction time by taking numerical calculation and computer simulation methods.Meanwhile,the authors plot the orbits on phase space,and propose that the  external parameters and initial conditions of trapped ions are the external influential factors for  regular and chaotic motion of the trapped ion.

Key words: ion trap, center of mass motion, regular motion