“…The unique properties of single ions captured in a Paul trap, such as (1) the wide variety of research subjects (virtually any ion can be trapped), (2) the presence of spectrally narrow `clock' transitions that are weakly sensitive to constant electric fields and blackbody radiation, (3) the absence of the contribution of the first-order Doppler effect, and (4) the absence of external perturbing fields in the trap (the ion is at zero quadrupole potential; there is no magnetic field), make them one of the best frequency references. Other advantages are the compactness of the trap, the simplicity of the loading system, a deep confining potential, and a long ion lifetime, amounting to weeks and months, depending on the vacuum level [41]. Probably, the only drawback is the relatively scant statistics on counts in the fluorescence signal of a single ion (compared to optical clocks based on ensembles of neutral atoms) and, accordingly, a decrease in the stability of the system frequency at intervals of 1±100 s by about an order of magnitude compared to clocks based on optical lattices, where 10 4 À10 5 atoms are interrogated simultaneously.…”