The oscillation coupling and different nonlinear effects are observed in a single trapped 40Ca+ ion confined in our home-built surface-electrode trap (SET). The coupling and the nonlinearity are originated from the high-order multipole 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 nonlinearity using currently available techniques and for suppressing instability of qubits in quantum information processing with trapped ions.
@article{arxiv.1302.3923,
title = {A complicated Duffing oscillator in the surface-electrode ion trap},
author = {Hao-Yu Wu and Yi. Xie and Wei Wan and Liang Chen and Fei Zhou and Mang Feng},
journal= {arXiv preprint arXiv:1302.3923},
year = {2015}
}