An experiment to improve the accuracy of a quantum level using hydrogen quantum clock with GLONASS/GPS phase measurements

The article investigates the accuracy of measuring the difference of gravitational potentials and orthometric heights with a quantum level based on a hydrogen quantum clock. To improve the accuracy of time scale comparison, the authors propose to use a high-precision method of absolute navigation based on global navigation satellite systems phase measurements with integer ambiguity resolution. With a measurement accumulation interval of about 5 days and the use of mobile quantum clocks with a daily relative instability of the order of 1 $\cdot$ 10$^{-15}$, the proposed method allows to measure the difference in orthometric heights and gravitational potentials with an error of 7.7 m and 75.3 m$^2$/s$^2$, respectively. At the same time, it is still possible to reduce the error when using quantum clocks with higher stability and increasing the measurement accumulation interval.