Measurement of the 671-nm tune-out wavelength of 7 Li by atom interferometry

We have measured the tune-out wavelength of lithium isotope $^{7}\mathrm{Li}$ at 671 nm. We have used our atom interferometer to measure the phase shift due to the dynamical Stark effect as a function of the laser frequency when a laser beam was focused on a single interferometer arm. The tune-out wavelength is a function of the hyperfine $F,{m}_{F}$ sublevel, and we have prepared the atoms in the sublevel $F=2,{m}_{F}=+2$ or $\ensuremath{-}2$. We find that the tune-out frequency of the $F=2,{m}_{F}=+2$ sublevel is at $3388(8)\phantom{\rule{0.16em}{0ex}}\mathrm{MHz}$ to the blue of the $^{2}S_{1/2},F=1\ensuremath{\rightarrow}^{2}P_{1/2},{F}^{\ensuremath{'}}=2$ transition, the accuracy of this measurement being limited by imperfect optical pumping. This measurement is in excellent agreement with its theoretical value, and, once corrected for different tensorial contributions, our measurement agrees with the more precise measurement of Copenhaver et al. [Phys. Rev. A 100, 063603 (2019)], who also used atom interferometry but different experimental conditions.