Estimation of uncertainty budget for a thulium optical clock

We calculate uncertainty budget of a developing thulium optical lattice clock. We estimate necessary level of control over various experimental parameters to achieve total systematic uncertainty of better than 10−17 in fractional units. We show, that clock transition frequency is insensitive to an ambient temperature, as well as quadratic Zeeman shift when interrogating two transition between different hyperfine levels. The optical lattice shift of the clock transition frequency is below 1 mHz for the lattice laser frequency stability of better than 3 MHz around the magic wavelength and relative fluctuation of the lattice polarization and a bias magnetic field of less than 1 mrad.