Abstract
We present a technique based upon two-pathway coherent control for the measurement of a weak transition moment. In our approach, we use two coherent optical beams, one the second harmonic of the other, to drive a transition by means of three distinct optical interactions. The interference between these interactions allows a determination of one moment relative to another. In this work, we demonstrate the approach by applying it to an experimental determination of the magnetic dipole moment for the $6s{\phantom{\rule{0.222222em}{0ex}}}^{2}{S}_{1/2}\ensuremath{\rightarrow}7s{\phantom{\rule{0.222222em}{0ex}}}^{2}{S}_{1/2}$ transition in atomic cesium. Our results are in excellent agreement with previous single-beam measurements. We also discuss prospects for extending this measurement technique to a new determination of the weak-force induced parity-nonconserving moment on this same transition.
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