Measurement of magic wavelengths for the 40Ca+ clock transition

Abstract

We demonstrate experimentally the existence of magic wavelengths and determine the ratio of the oscillator strengths for a single trapped ion. For the first time, two magic wavelengths for the 40Ca+ clock-transition are measured simultaneously with high precision, giving Lamda|mj|=1/2 = 395.7992(7) nm and Lamda|mj|=3/2 = 395.7990(7) nm. By tuning a laser to an intermediate wavelength between two transitions (4s1/2-4p1/2 and 4s1/2-4p3/2) of 40Ca+, the sensitivity of the clock transition Stark shift to the oscillator strengths for the resonance transition has been greatly enhanced. With the measured magic wavelengths, we determine the ratio of the oscillator strengths to sub-0.5% accuracy. Our experimental method may be applied to measure magic wavelengths for other ion clock-transitions, and, promisingly, the measurement of these magic wavelengths paves the way to building lattice ion clocks.

arXiv commentPhysical Review Letters(accepted )

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• Static and dynamic polarizabilities of Yb-ion]{Accurate determination of black-body radiation shift, magic and tune-out wavelengths for the $6{\mathrm{S}}_{1/2}\to 5{\mathrm{D}}_{3/2}$ clock transition in Yb${}^{+}$
• Annexing magic and tune-out wavelengths to the clock transitions of the alkaline-earth metal ions
• Precision Measurement of the Quadrupole Transition Matrix Element in a Single Trapped ${}^{40}$Ca${}^{+}$
• Measurement of magic-wavelength optical dipole trap by using the laser-induced fluorescence spectra of trapped single cesium atoms
• Magnetic sublevel independent magic wavelengths: Application in the Rb and Cs atoms
• Angle-dependent magic wavelengths for the $4s_{1/2}\to 3d_{5/2,3/2}$ transitions of Ca${}^{+}$ ions
• Higher-component quadrupole polarizabilities: Estimations for the clock states of the alkaline earth-metal ions
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