A complicated Duffing oscillator in the surface-electrode ion trap

作者:Wu, Hao-Yu; Xie, Yi; Wan, Wei; Chen, Liang*; Zhou, Fei; Feng, Mang
来源:Applied Physics B: Lasers and Optics , 2014, 114(1-2): 81-88.
DOI:10.1007/s00340-013-5541-z

摘要

The oscillation coupling and different nonlinear effects are observed in a single trapped 40 Ca+ ion confined in our home-built surface-electrode trap (SET). The coupling and the nonlinearity are originated from the high-order multipole potentials, such as hexapole and octopole potentials, due to different layouts and the fabrication asymmetry of the SET. We solve a complicated Duffing equation with coupled oscillation terms by the multiple-scale method, which fits the experimental values very well. Our investigation in the SET helps for exploring multidimensional nonlinearity using currently available techniques and for suppressing instability of qubits in quantum information processing with trapped ions.