Measurement of the tune-out wavelength for ${}^{133}$Cs at $880$ nm

Abstract

We perform a measurement of the tune-out wavelength, ${\lambda }_0$, between the $D_1$, $6^2{S}_{1/2}\to 6^2{P}_{1/2}$, and $D_2$, $6^2{S}_{1/2}\to 6^2{P}_{3/2}$, transitions for ${}^{133}$Cs in the ground hyperfine state $(F=3,m_F=+3)$. At ${\lambda }_0$, the frequency-dependent scalar polarizability is zero leading to a zero scalar ac Stark shift. We measure the polarizability as a function of wavelength using Kapitza-Dirac scattering of a ${}^{133}$Cs Bose-Einstein condensate in a one-dimensional optical lattice, and determine the tune-out wavelength to be ${\lambda }_0=880.21790(40{)}_{\text{stat}}(8{)}_{\text{sys}}$ nm. From this measurement we determine the ratio of reduced matrix elements to be ${\left|⟨6P_{3/2}\Vert d\Vert 6S_{1/2}⟩\right|}^2{\left|⟨6P_{1/2}\Vert d\Vert 6S_{1/2}⟩\right|}^2=1.9808(2)$. This represents an improvement of a factor of 10 over previous results derived from excited-state lifetime measurements. We use the present measurement as a benchmark test of high-precision theory.

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• State-dependent potentials for the ${}^1{\text{S}}_0$ and ${}^3{\text{P}}_0$ clock states of neutral ytterbium atoms
• Long distance optical conveyor-belt transport of ultracold ${}^{133}$Cs and ${}^{87}$Rb atoms
• Determination of Quantum Defects and Core Polarizability of Atomic Cesium via Terahertz and Radio-Frequency Spectroscopy in Thermal Vapor
• Measurement of the 87Rb D-line vector tune-out wavelength
• An experimental platform for studying the heteronuclear Efimov effect with an ultracold mixture of ${}^6$Li and ${}^{133}$Cs atoms
• Determining the ${}^3$P${}_0$ excited-state tune-out wavelength of ${}^{174}$Yb in a triple-magic lattice
• Multi-state detection and spatial addressing in a microscope for ultracold molecules
• Dissipationless tune-out trapping for a lanthanide-alkali quantum gas mixture
• Two-Body Kapitza-Dirac Scattering of One-Dimensional Ultracold Atoms
• Tune-out wavelength for the thulium atom near 576 nm