1204.4354 (Xiaorun Zang et al.)

Magic wavelengths for lattice trapped Rubidium four-level active optical
clock    [PDF]

Xiaorun Zang, Tonggang Zhang, Jingbiao Chen

After pumped from $5s_{1/2}$ ground state to $6p_{1/2}$ state, the population inversion between $6s_{1/2}$ and $5p_{1/2,3/2}$ 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 blue detuned magic wavelengths are found that can form desired optical lattice trapping potential. When the trapping laser is tuned to the magic wavelength, with 1 MHz frequency uncertainty and 10 kW$\cdot$cm$^{-2}$ intensity, the frequency uncertainty of clock transition due to AC Stark shift of trapping laser, is estimated to be below 0.05 mHz.

View original: http://arxiv.org/abs/1204.4354