“…[6,7] In particular, the strong coupling to external electric fields makes the trapped ions excellent sensors for characterizing weak variation of the external electric fields. [8][9][10] In ion traps, the electric field fluctuations are typical types of noises, leading to instability of the trapped ions, i.e., the main detrimental factor for confining and manipulating the ions. [11,12] Generally speaking, electric-field noises above surfaces provide a significant challenge to many disparate areas of physics, from instability of the system to imprecision of measurement.…”