Till Rosenband
NIST - Boulder
" Coherent and incoherent comparisons of Al+ quantum-logic clocks"
Abstract: The 1S0-3P0 clock-resonance frequencies of two Al+ ions are
compared by two methods. In the first, two separate optical clocks are
constructed with accuracies of 2.3 × 10^−17 and 8.6 × 10^−18. The ions
in these clocks share no quantum coherence, and their resonance
frequencies are compared with a statistical uncertainty of 7.0×10−18
after 165,000 s of averaging (2.8 × 10−15 s/τ instability). Stability is
limited by laser decoherence, which constrains the clocks’ probe-times
to 150 ms. The clocks are applied to measure a height change of 37 ± 15
cm via the gravitational red-shift. In the second method, two Al+ ions
in one trap are excited by a single laser beam, and clock-state
superpositions evolve coherently for up to 5 s. Small frequency
differences are measured with a fractional stability of 3.7 × 10^−16 s/τ
, and 1.4 × 10^−16 s/τ may be attainable. The technique does not improve
time-keeping stability, but speeds-up the measurement of small
frequency-shifting effects by several orders of magnitude. Quality
factors of 6.7 × 10^15 are observed. Recent developments allow
state-detection without photon scattering, making the quantum-logic
spectroscopy technique of the Al+ applicable to a wider variety of ions.