Precision Measurement of Transition Matrix Elements via Light Shift Cancellation

Abstract

We present a method for accurate determination of atomic transition matrix elements at the 10^{-3} level. Measurements of the ac Stark (light) shift around "magic-zero" wavelengths, where the light shift vanishes, provide precise constraints on the matrix elements. We make the first measurement of the 5s-6p matrix elements in rubidium by measuring the light shift around the 421 nm and 423 nm zeros with a sequence of standing wave pulses. In conjunction with existing theoretical and experimental data, we find 0.3236(9) e a_0 and 0.5230(8) e a_0 for the 5s-6p_{1/2} and 5s-6p_{3/2} elements, respectively, an order of magnitude more accurate than the best theoretical values. This technique can provide needed, accurate matrix elements for many atoms, including those used in atomic clocks, tests of fundamental symmetries, and quantum information.

7 pages, 4 figures

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Cited by in corpus (47)

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• Measurement of dipole matrix elements with a single trapped ion
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• Generating Giant Vortex in a Fermi Superfluid via Spin-Orbital-Angular-Momentum Coupling
• Hyperfine effects on potassium tune-out wavelengths and polarizabilities
• Precision Measurement of the Quadrupole Transition Matrix Element in a Single Trapped ${}^{40}$Ca${}^{+}$
• Spin-orbital-angular-momentum-coupled quantum gases
• A 3-photon process for producing a degenerate gas of metastable alkaline-earth atoms
• Measurement of the tune-out wavelength for ${}^{133}$Cs at $880$ nm
• Quantum beat spectroscopy: stimulated emission probe of hyperfine quantum beats in the atomic Cs 8p ${}^2{P}_{3/2}$ level
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• State-dependent potentials for the ${}^1{\text{S}}_0$ and ${}^3{\text{P}}_0$ clock states of neutral ytterbium atoms
• QED radiative corrections to electric dipole amplitudes in heavy atoms
• Polarizabilities and tune-out wavelengths of the hyperfine ground states of ${}^{87,85}$Rb
• Long range interactions between alkali and alkaline-earth atoms
• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Angle-dependent magic wavelengths for the $4s_{1/2}\to 3d_{5/2,3/2}$ transitions of Ca${}^{+}$ ions
• Experimental and theoretical study of dynamic polarizabilities in the $5S_{1/2}$-$5D_{5/2}$ clock transition in rubidium-87 and determination of E1 matrix elements
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• Lattice-depth measurement using multi-pulse atom diffraction in and beyond the weakly diffracting limit
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• Ground Tests of Einstein's Equivalence Principle: From Lab-based to 10-m Atomic Fountains
• Measurement of the 87Rb D-line vector tune-out wavelength
• Determining the ${}^3$P${}_0$ excited-state tune-out wavelength of ${}^{174}$Yb in a triple-magic lattice
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• Lifetime determination of the 5d${}^2$~${}^3$F${}_2$ state in barium using trapped atoms
• Lattice-depth measurement using continuous grating atom diffraction
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• Dissipationless tune-out trapping for a lanthanide-alkali quantum gas mixture
• Quantum Degenerate Mixtures of Cs and Yb