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    Coherent Control of Three-Level System Using Shaped Free Electrons

    Dixuan Wu1,*, Jing Li1,*, Yuhan Jiang1, and Yunquan Liu1,2,†

    • 1State Key Laboratory for Mesoscopic Physics and Collaborative Innovation Center of Quantum Matter, School of Physics, Peking University, Beijing 100871, China
    • 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China

    • *These authors contributed equally to this work.
    • †Contact author: Yunquan.liu@pku.edu.cn

    Phys. Rev. Lett. 137, 063601 – Published 3 August, 2026

    DOI: https://doi.org/10.1103/l2y4-tpzb

    Abstract

    Three-level systems exhibit quantum interference effects absent in two-level systems, making them important for quantum optics. Here, we study the coherent interaction of a Λ-type three-level system with free electrons shaped by optical near fields. By treating the electron train as a quantum drive, we show that the interplay between electron modulation and the three-level system’s transition pathways induces tunable interference patterns. This interaction effectively realizes electron-mediated coherent population trapping. We identify a regime that enables complete population transfer between the two lower states and the preparation of a high-coherence superposition, manifested as dark states. In particular, these driven-dissipative steady states are independent of the initial state. Our Letter proposes shaped free electrons as a platform for steady-state coherent control of three-level systems, enabling atomic-scale state engineering.

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