Measurement of a ${}^7$Li tune-out wavelength by phase-patterned atom interferometry

Abstract

Atom interferometers typically use the total populations the interferometer's output ports as the signal, but finer spatial structure can contain useful information. We pattern a matter-wave phase profile onto an atomic sample. An interferometer translates the phase into a measurable pattern in the atomic density that we use perform the first direct precision measurement of the ${}^7$Li tune-out wavelength near 671 nm. Expressed as a detuning from the $|2S_{1/2},F=2⟩\to |2P_{1/2},F^{\prime }=2⟩$ transition, we find 3329.3(1.4) MHz for the tensor-shifted tune out of the $|2S_{1/2},F=2,m_F=0⟩$ state with ${\sigma }^{\pm }$ light polarization and 3310.1(4.9) MHz for the tune out of the the scalar polarizability. This technique may be generalized for directly sensing spatially varying phase profiles.

arXiv comment14 pages, 11 figures

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• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Measurement of the 87Rb D-line vector tune-out wavelength
• Experimental study of tune-out wavelengths for spin-dependent optical lattice in ${}^{87}$Rb Bose-Einstein condensation
• Dissipationless tune-out trapping for a lanthanide-alkali quantum gas mixture