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.

Physical Review Letters(accepted )

References in corpus (8)

• Sr lattice clock at 1x10^{-16} fractional uncertainty by remote optical evaluation with a Ca clock
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Species-specific optical lattices
• Optical Lattice Induced Light Shifts in an Yb Atomic Clock
• Precision Measurement of Transition Matrix Elements via Light Shift Cancellation
• Magic wavelengths for the np-ns transitions in alkali-metal atoms
• Precision measurement of the branching fractions of the 4P3/2 decay of Ca II
• Coherent Excitation of the 6S1/2 to 5D3/2 Electric Quadrupole Transition in 138Ba+

Cited by in corpus (3)

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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${}^{+}$
• Measurement of magic-wavelength optical dipole trap by using the laser-induced fluorescence spectra of trapped single cesium atoms