Table 1 Properties of the four probed hyperfine transitions.

From: Hybrid setup for stable magnetic fields enabling robust quantum control

Label

Transition

Trans. frequency

Field sensitivity

Coupling strength

Coherence time

ω [2π MHz]

∂ω/∂B [2π MHz mT−1]

ΩCoupl. [2π kHz]

τ [s]

MW, 0

\(|\mathrm{3,3}\rangle \leftrightarrow |\mathrm{2,2}\rangle \)

1541.066(4)

−21.764

161(3)

0.42(6) × 10−3

MW, 1

\(|\mathrm{2,2}\rangle \leftrightarrow |\mathrm{3,1}\rangle \)

1655.815(2)

−10.116

38.3(8)

0.9(1) × 10−3

MW, 2

\(|\mathrm{3,1}\rangle \leftrightarrow |\mathrm{2,0}\rangle \)

1762.97381160(1)

±0(1) × 10−4 (+0.217 mT−1)

28.5(6)

6.6(9)

RF, 0

\(|\mathrm{2,2}\rangle \leftrightarrow |\mathrm{2,1}\rangle \)

55.260(1)

+5.381

0.28(6)

1.8(2) × 10−3

  1. Calculated transition frequencies ω and magnetic field sensitivities \(\frac{\partial \omega }{\partial B}\) are listed, as well as, a summary of the experimentally applied coupling strengths ΩCoupl. and measured coherence times τ. All values are taken for a measured magnetic field of |B0| = 10.9584(2) mT.
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