A transportable 40Ca+ single-ion clock with $7.7\times 10^{-17}$ systematic uncertainty

: A transportable optical clock refer to the 4s 2 S 1/2 -3d 2 D 5/2 electric quadrupole transition at 729 nm of single 40 Ca + trapped in mini Paul trap has been developed. The physical system of 40 Ca + optical clock is re-engineered from a bulky and complex setup to an integration of two subsystems: a compact single ion unit including ion trapping and detection modules, and a compact laser unit including laser sources, beam distributor and frequency reference modules. Apart from the electronics, the whole equipment has been constructed within a volume of 0.54 m 3 . The systematic fractional uncertainty has been evaluated to be 7.7×10 -17 , and the Allan deviation fits to be    by clock self-comparison with a probe pulse