Magic wavelengths for lattice trapped Rubidium four-level active optical clock
Abstract
After pumped from
5
s
1/2
ground state to
6
p
1/2
state, the population inversion between
6
s
1/2
and
5
p
1/2,3/2
will be established for Rubidium four-level active optical clock. In this paper, we calculate AC Stark shift due to lattice trapping laser which dominates the frequency shift of clock transition in lattice trapped Rubidium four-level active optical clock. Several magic wavelengths are found that can form desired optical lattice trapping potential. By choosing a proper intensity and linewidth of trapping laser, the fractional frequency uncertainty of clock transition due to AC Stark shift of trapping laser, is estimated to be below 10^-18