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    Electronic phase-locking for three-color two-pathway coherent control

    Jonah A. Quirk1, Carol E. Tanner2, and D. S. Elliott1,3

    Phys. Rev. A 113, 013124 – Published 28 January, 2026

    DOI: https://doi.org/10.1103/xz6b-4spy

    Abstract

    We report a method of two-pathway coherent control using three narrow-band cw laser sources, phase-locked in an optical phase-lock loop, to maintain the high degree of optical coherence required for the coherent control process. In addition, we derive expressions for two-photon transition amplitudes and demonstrate their dependence on the polarization of the field components. This phase-locking technique expands the set of interactions to which coherent control techniques may be applied. It also allows for a constant low-frequency offset between the optical interactions, producing a continuous and constant phase ramp between the interactions, facilitating phase-sensitive detection of the modulating atomic signal. We illustrate this technique with two-photon versus one-photon excitation of a ΔF=1 component, and alternatively a ΔF=0 component, of the 6s2S1/2→7s2S1/2 transition of atomic cesium.

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