A Method for Measuring the $6S_{1/2}\leftrightarrow 5D_{3/2}$ Magnetic Dipole Transition Moment in {Ba}${}^{+}$

Abstract

We propose a method for measuring the magnetic dipole (M1) transition moment of the $6S_{1/2}(\mathrm{m}=-1/2)\leftrightarrow 5D_{3/2}(\mathrm{m}=-1/2)$ transition in single trapped Ba${}^{+}$ by exploiting different symmetries in the electric quadrupole (E2) and M1 couplings between the states. The technique is adapted from a previously proposed method for measuring atomic parity nonconservation in a single trapped ion [Norval Fortson, Phys. Rev. Lett. \textbf{70}, 17 (1993)]. Knowledge of M1 is crucial for any parity nonconservation measurement in Ba${}^{+}$, as laser coupling through M1 can mimic the parity-violating signal. The magnetic moment for the transition has been calculated by atomic theory and found to be dominated by electron-electron correlation effects [B.K. Sahoo et. al., Phys. Rev. A \textbf{74}, 6 (2006)]. To date the value has not been verified experimentally. This proposed measurement is therefore an essential step toward a parity nonconservation experiment in the ion that will also test current many-body theory. The technique can be adapted for similar parity nonconservation experiments using other atomic ions, where the magnetic dipole moment could present similar complications.

References in corpus (4)

• Precision measurement of the branching ratio in the 6P3/2 decay of BaII with a single trapped ion
• Quantum electrodynamics corrections to energies, transition amplitudes and parity nonconservation in Rb, Cs, Ba${}^{+}$, Tl, Fr and Ra${}^{+}$
• Coherent Excitation of the 6S1/2 to 5D3/2 Electric Quadrupole Transition in 138Ba+
• MW-Optical Double Resonance in ${}^{171}{Yb}^{+}$ Trapped Single Ion and its Application for Precision Experiments

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• Spin-dependent exotic interactions
• Calculation of strongly forbidden M1 transitions and g-factor anomalies in atoms considered for parity non-conservation measurements
• Measurement scheme and analysis for weak ground state hyperfine transition moments through two-pathway coherent control
• Spectral Signatures of Vibronic Coupling in Trapped Cold Ionic Rydberg Systems
• Theoretical characterisation of the barium II and radium II ions
• Studies of parity violation in atoms